Lloyd bought a refrigerator that measures 76 cm×76 cm×170 cm to fit in a space with a volume of 975,000 cm3 . Will the refrigerator fit in the space? Explain.(1 point)
Responses
Yes, it will fit since it is smaller than the space.
Yes, it will fit since it is smaller than the space.
No, it is 6,920 cm3 too small for the space.
No, it is 6,920 cm cubed too small for the space.
No, it is 6,920 cm3 too big for the space.
No, it is 6,920 cm cubed too big for the space.
Yes, it will fit. It will be a bit tight, but that won’t matte
No, it is 6,920 cm3 too small for the space. The volume of the refrigerator is 76 cm * 76 cm * 170 cm = 983,200 cm3, which is smaller than the space of 975,000 cm3. Therefore, the refrigerator will not fit in the space.
use the image to answer the question.
An illustration shows a rectangular pyramid with length of 7.5 miles, a width of 7 miles, and a perpendicular height of 5 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?
(1 point)
To find the volume of a rectangular pyramid, you use the formula:
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a rectangle with area length * width, so the base area is 7.5 miles * 7 miles = 52.5 square miles.
The perpendicular height of the pyramid is given as 5 miles.
Plugging these values into the formula, we get:
Volume = (1/3) * 52.5 * 5 = 87.5 cubic miles
Therefore, the volume of the rectangular pyramid is 87.5 cubic miles.
A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. Its base is 4 cm wide and 9 cm long. The wedge is 21 cm tall. What is the volume of the piece of cheese?(1 point)
cm3
To find the volume of the wedge-shaped piece of cheese, which approximates a rectangular pyramid, we use the formula:
Volume = (1/3) * base area * height
Given:
Base area = 4 cm * 9 cm = 36 cm^2
Height = 21 cm
Plugging the values into the formula:
Volume = (1/3) * 36 cm^2 * 21 cm
Volume = (1/3) * 756 cm^3
Volume = 252 cm^3
Therefore, the volume of the wedge-shaped piece of cheese is 252 cm^3.
A rectangular pyramid has a volume of 480 in.3. If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?(1 point)
in.3
The volume of a rectangular pyramid is given by the formula:
Volume = (1/3) * base area * height
Given that the volume of the pyramid is 480 in^3. Now, since the base and height of the prism are congruent to the pyramid, the volume of the prism will be:
Volume = base area * height
Let's denote the base area as B and the height as h. From the volume of the pyramid formula, we know that:
480 = (1/3) * B * h
We are also given that the base area and height of the prism are congruent to the pyramid, so B = base area of the pyramid and h = height of the pyramid. Therefore, the volume of the prism will be:
Volume = B * h = 3 * 480 = 1440 in^3
Therefore, the volume of the prism is 1440 in^3.
Question
Use the image to answer the question.
An illustration shows a triangle with its base as 20 feet and its perpendicular height as 6 feet.
A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 600 ft.3 , what is the volume of the pyramid?
(1 point)
Responses
1,800 ft.3
1,800 ft. cubed
400 ft.3
400 ft. cubed
200 ft.3
200 ft. cubed
600 ft.3
600 ft. cubed
Since the triangle has a base of 20 feet and a perpendicular height of 6 feet, the area of the triangle base would be:
Area = (1/2) * base * height
Area = (1/2) * 20 ft * 6 ft
Area = 60 ft^2
Given that the volume of the prism with the same base and height is 600 ft^3, we can find the height of the prism using the formula for the volume of a prism:
Volume = base area * height
600 ft^3 = 60 ft^2 * height
height = 600 ft^3 / 60 ft^2
height = 10 ft
Now, to find the volume of the pyramid with the same base and height as the prism, we use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
Volume = (1/3) * 60 ft^2 * 10 ft
Volume = 200 ft^3
Therefore, the volume of the pyramid is 200 ft^3.
So, the correct response is:
200 ft^3
Question
Use the image to answer the question.
An illustration shows a rectangular prism with a cube placed on top. The cube is 3 inches on all sides. The rectangular prism is 11 inches long and 4 inches high.
What is the volume of the composite figure?
(1 point)
in.3