Eduardo has a 32-gallon fish tank. Describe what this measurement means.(1 point)
This measurement means that Eduardo's fish tank can hold a maximum of 32 gallons of water.
The volume of one box is calculated as:
V = s^3
where s is the side length of the cube.
Therefore, V = 18^3 = 5832 cubic inches.
To find the total space needed to transport all 75 boxes, we can multiply the volume of one box by the total number of boxes:
Total volume = 75 x 5832 = 437,400 cubic inches.
Therefore, the delivery truck service will need to transport a total space of 437,400 cubic inches to transport all 75 boxes.
The formula for finding the volume of a right rectangular prism is:
V = l x w x h
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = 5 x 2.5 x 3.5 = 43.75 cubic feet
Therefore, the volume of the figure is 43.75 ft^3.
A storage unit is advertised as being 100 cubic feet. Which of the following best describes what this means?
It means that the storage unit has a volume of 100 cubic feet and can hold objects with a combined volume of up to 100 cubic feet.
A delivery truck service needs to transport 75 boxes. The boxes are all cubes with a side length of 18 in. How much space will the service need to transport the boxes? Use the formula for the volume of a cube.(1 point)
Anna Beth has two fish tanks. They are both cubes. The side length of one of the tanks is 15 cm. The side length of the other is 45 cm. What is the ratio of the volume of the smaller tank compared to the volume of the larger tank?
127
13
4515
271
The volume of the smaller tank is:
V1 = s^3 = 15^3 = 3375 cubic cm
The volume of the larger tank is:
V2 = s^3 = 45^3 = 91125 cubic cm
The ratio of the volumes is:
V1/V2 = 3375/91125 = 0.037
Rounding to the nearest whole number, the ratio is 0. Therefore, the ratio of the volume of the smaller tank compared to the volume of the larger tank is 0:1.
An illustration shows a right rectangular prism with the top, front, and left faces visible. The length measures 5 feet, the width measures 2.5 feet, and the perpendicular height measures 3.5 feet. The edges that are not visible are indicated by dashed lines.
Use the formula for finding the volume of a right rectangular prism to calculate the volume of the figure.
43.75 ft.3
437.5 ft.3
4.375 ft.3
0.4375 ft.3
An illustration shows a rectangular pyramid with a length of 14 inches, a width of 6 inches, and a perpendicular height of 12 inches. The face with the length of 6 inches has a slant height of 13.89 inches. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
How many cubic inches does this rectangular pyramid contain? Round answer to the nearest whole number.
1,167 in.3
389 in.3
336 in.3
1,008 in.3
The formula for finding the volume of a rectangular pyramid is:
V = (l x w x h)/3
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = (14 x 6 x 12)/3 = 336 cubic inches
Therefore, this rectangular pyramid contains 336 cubic inches.
An illustration shows a square rectangular pyramid with a side length of 12 meters, a perpendicular height of 10 meters, and a slant height of 11.66 meters. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
What is the volume of the rectangular pyramid?
559.68 m3
480 m3
1,440 m3
144 m3
The formula for finding the volume of a square pyramid is:
V = (s^2 x h)/3
where s is the side length of the base and h is the perpendicular height.
Plugging in the given values, we get:
V = (12^2 x 10)/3 = 480 cubic meters
Therefore, the volume of the rectangular pyramid is 480 m^3.
Use the formula for the volume of a rectangular pyramid to find the volume of a pyramid-shaped tent whose height is 75 in., width is 111 in., and length is 111 in. when standing.(1 point)
400,000 in.3
924,075 in.3
308,025 in.3
33,034.03 in.3
The formula for finding the volume of a rectangular pyramid is:
V = (l x w x h)/3
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = (111 x 111 x 75)/3 = 924,075 cubic inches
Therefore, the volume of the pyramid-shaped tent is 924,075 in^3.
(Note: It is important to ensure that all the units are consistent. In this case, the measurements for height, width, and length are all in inches, so the volume will be in cubic inches.)
A cell phone telecommunication tower stands in the shape of a rectangular pyramid. The tower stands 80 m tall and rests on a base that is 15 m by 20 m. What is the volume of the tower?
70 m3
12,000 m3
8,000 m3
24,000 m3
The formula for finding the volume of a rectangular pyramid is:
V = (l x w x h)/3
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = (15 x 20 x 80)/3 = 24,000 cubic meters
Therefore, the volume of the tower is 24,000 m^3.
A holiday ornament in the shape of a square pyramid has the following dimensions: 2.75 x 2.75 x 2.75 in. What is the approximate volume of the ornament? Round your answer to the nearest hundredth.
20.80 in.3
9.01 in.3
6.93 in.3
24.47 in.3
The formula for finding the volume of a square pyramid is:
V = (s^2 x h)/3
where s is the side length of the base and h is the perpendicular height.
Plugging in the given values, we get:
V = (2.75^2 x 2.75)/3 = 6.93438 cubic inches
Rounding to the nearest hundredth, we get:
V ≈ 6.93 cubic inches
Therefore, the volume of the ornament to the nearest hundredth is approximately 6.93 in^3.
There is a rectangular prism and pyramid with congruent bases and height. If the volume of the pyramid is 48 in.3, what is the volume of the prism?
24 in.3
96 in.3
16 in.3
144 in.3
The volume of a rectangular pyramid is one-third the volume of the rectangular prism with the same base and height.
Therefore, if the volume of the pyramid is 48 in^3, then the volume of the rectangular prism is:
V = 3 x 48 = 144 cubic inches
Therefore, the volume of the prism is 144 in^3.
A rectangular prism has a base area of 15 cm2, and a congruent pyramid has a volume of 20 cm3. What is the height of the rectangular prism?
43 cm
20 cm
5 cm
4 cm
The volume of a rectangular pyramid is given by:
V = (l x w x h)/3
where l and w are the lengths of the base and h is the perpendicular height.
If the pyramid has a volume of 20 cm^3 and a base area of 15 cm^2, we can solve for its height:
20 = (15 x h)/3
h = (20 x 3)/15 = 4 cm
Therefore, the height of the rectangular prism is also 4 cm.
Use the image to answer the question.
An illustration shows an equilateral triangle with each side measuring 6 centimeters. The perpendicular height is shown as a dashed line from the base to the apex and and is 4 centimeters. A right angle symbol is shown to the right of the perpendicular line.
Use the model for the base of a triangular prism and triangular pyramid. If the heights are both 9 cm, what is the volume of each shape?
prism: 72 cm3; pyramid: 216 cm3
prism: 108 cm3; pyramid: 36 cm3
prism: 216 cm3; pyramid: 72 cm3
prism: 36 cm3
The formula for the volume of a triangular prism is:
V = (1/2 x b x h) x H
where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism.
Plugging in the given values, we get:
V = (1/2 x 6 x 4) x 9 = 108 cubic centimeters
Therefore, the volume of the triangular prism is 108 cm^3.
The formula for the volume of a triangular pyramid is:
V = (1/2 x b x h) x (H/3)
Plugging in the given values, we get:
V = (1/2 x 6 x 4) x (9/3) = 36 cubic centimeters
Therefore, the volume of the triangular pyramid is 36 cm^3.
Therefore, the correct answer is: prism: 108 cm3; pyramid: 36 cm3.
A storage unit is advertised as being 100 cubic feet. Which of the following best describes what this means?(1 point)
Responses
The storage unit is too small.
The storage unit is too small.
The storage unit can be used to keep all your extra materials.
The storage unit can be used to keep all your extra materials.
The storage unit can hold 100 items.
The storage unit can hold 100 items.
The storage unit can hold 100 boxes that are 1 cubic foot.
The storage unit can hold a maximum volume of 100 cubic feet of objects.
that is not an answer choice I can select
I apologize for that. In that case, the correct answer is: The storage unit can be used to keep all your extra materials.
A delivery truck service needs to transport 75 boxes. The boxes are all cubes with a side length of 18 in. How much space will the service need to transport the boxes? Use the formula for the volume of a cube.(1 point)
Responses
5,832 in.3
437,400 in.3
1,350 in.3
24,300 in.2
The volume of one cube is calculated as:
V = s^3
where s is the side length of the cube.
Therefore, V = 18^3 = 5,832 cubic inches.
To find the total space needed to transport all 75 boxes, we can multiply the volume of one box by the total number of boxes:
Total volume = 75 x 5,832 = 437,400 cubic inches.
Therefore, the delivery truck service will need to transport a total space of 437,400 cubic inches to transport all 75 boxes.
Therefore, the correct answer is: 437,400 in.3.
Anna Beth has two fish tanks. They are both cubes. The side length of one of the tanks is 15 cm. The side length of the other is 45 cm. What is the ratio of the volume of the smaller tank compared to the volume of the larger tank?(1 point)
Responses
Start Fraction 1 over 27 End Fraction
Start Fraction 45 over 15 End Fraction
Start Fraction 1 over 3 End Fraction
Start Fraction 27 over 1 End Fraction
The volume of one cube is calculated as:
V = s^3
where s is the side length of the cube.
Therefore, the volume of the smaller cube is:
V1 = 15^3 = 3,375 cubic cm
The volume of the larger cube is:
V2 = 45^3 = 91,125 cubic cm
The ratio of the volumes is:
V1/V2 = 3,375/91,125 = 1/27
Therefore, the correct answer is: Start Fraction 1 over 27 End Fraction.
Use the image to answer the question.
An illustration shows a right rectangular prism with the top, front, and left faces visible. The length measures 5 feet, the width measures 2.5 feet, and the perpendicular height measures 3.5 feet. The edges that are not visible are indicated by dashed lines.
Use the formula for finding the volume of a right rectangular prism to calculate the volume of the figure.
(1 point)
Responses
0.4375 ft.3
43.75 ft.3
437.5 ft.3
4.375 ft.3
The formula for finding the volume of a right rectangular prism is:
V = l x w x h
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = 5 x 2.5 x 3.5 = 43.75 cubic feet
Therefore, the volume of the figure is 43.75 ft^3.
Therefore, the correct answer is: 43.75 ft.3.
Use the image to answer the question.
An illustration shows a rectangular pyramid with a length of 4 centimeters, a width of 3 centimeters, and a perpendicular height of 12 centimeters. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
What is the volume of the rectangular pyramid?
(1 point)
___cm3
The formula for finding the volume of a rectangular pyramid is:
V = (l x w x h)/3
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = (4 x 3 x 12)/3 = 48 cubic centimeters
Therefore, the volume of the rectangular pyramid is 48 cm^3.
Therefore, the answer is: 48 cm3.
Use the image to answer the question.
An illustration shows a square rectangular pyramid with a side length of 16 miles and a perpendicular height of 8 miles. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
What is the volume of the rectangular pyramid? Round answer to nearest hundredth in decimal form.
(1 point)
___ mi.3
The formula for finding the volume of a square pyramid is:
V = (s^2 x h)/3
where s is the side length of the base and h is the perpendicular height.
Plugging in the given values, we get:
V = (16^2 x 8)/3 = 682.67 cubic miles
Rounding to the nearest hundredth, we get:
V ≈ 682.67 cubic miles
Therefore, the volume of the rectangular pyramid is approximately 682.67 mi^3.
Therefore, the answer is: 682.67 mi.3
Volume of Pyramids Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration shows a rectangular pyramid with a length of 8 millimeters, a width of 5 millimeters, and a perpendicular height of 18 millimeters. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
What is the volume of the rectangular pyramid?
(1 point)
___mm3
The formula for finding the volume of a rectangular pyramid is:
V = (l x w x h)/3
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = (8 x 5 x 18)/3 = 240 cubic millimeters
Therefore, the volume of the rectangular pyramid is 240 mm^3.
Therefore, the answer is: 240 mm3.
A crystal perfume bottle is in the shape of a square pyramid. The length of one of the sides of the base is 3 in., and the height of the bottle is 5 in. What is the volume of the bottle?(1 point)
__ in.3
The formula for finding the volume of a square pyramid is:
V = (s^2 x h)/3
where s is the length of one side of the base and h is the height.
Plugging in the given values, we get:
V = (3^2 x 5)/3 = 15 cubic inches
Therefore, the volume of the crystal perfume bottle is 15 in^3.
Therefore, the answer is: 15 in.3
A "Caution Wet Floor” warning sign is in the shape of a rectangular pyramid. It is 31 in. tall and has a base whose dimensions are 12 in. by 20 in. What is the volume of the sign?(1 point)
___in.3
The formula for finding the volume of a rectangular pyramid is:
V = (l x w x h)/3
where l is the length, w is the width, and h is the height.
Pl