1.A rectangular poster has a length of 72 centimeters and a width of 15 centimeters. The poster is reduced in size by 6 centimeters in length and 3 centimeters in width. What is the area of the new poster?(1 point)
____square centimeters
2.A piece of paper is in the shape of a right triangle. The base is 4.25 inches and the height is 11 inches. What is the area of the right triangle in square inches? Do not round your answer.(1 point)
____square inches
3.Use the image to answer the question.
An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex is at the top of row 2 and the right of column 6. The second vertex is at the top of row 8 and the right of column 1. The third vertex is at the top of row 10 and right of column 10.
What is the area of the non-right triangle? The base and height are found by counting the squares.
(1 point)
The area is _____ square units.
4.Question
Use the image to answer the question.
An illustration shows a parallelogram with the right side as 16 inches. A perpendicular dotted line from top right vertex to the left side is 12 inches. The perpendicular line makes one right angle symbol with right side and two right angle symbols with the left side.
What is the area of the quadrilateral?
_____ in.2
5.Use the image to answer the question.
An illustration shows the outline of letter upper H. The two vertical sides of the outline letter upper H have length 12 and width 3. The horizontal part across the middle has length 5. The inner side of the upper vertical part of the H has length 5. The inner side of the lower vertical part has length 6.
What is the area of the polygon?
(1 point)
Responses
83 square units
83 square units
68 square units
68 square units
72 square units
72 square units
77 square units
6.Use the image to answer the question.
An illustration of a parallelogram shows the following dimensions: The base is 12 feet. The perpendicular height from the top left vertex to the base is 7 inches. The height is drawn as a dashed line.
A pool company is installing a parallelogram-shaped swimming pool in a family’s back yard. Compose a rectangle to find the amount of area that the pool will take up in the yard. What is the area of the pool?
(1 point)
_____square feet
7.Use the image to answer the question.
An illustration shows an unfolded box net. It is comprised of a rectangle at the center, two squares extending into three trapezoids on the top and bottom, and a trapezoid on the left of the rectangle. The top side of the rectangle is labeled in three distinct sections: starting at the left, a solid line of 3 is drawn, followed by a dashed line of 3, and then a solid line of 6. The bottom of the rectangle is labeled in three distinct sections: a solid line of 6, a dashed line of 3, and a solid line of 3. The left width of the rectangle is drawn as a dashed line, labeled as 3, which becomes the base of a shaded trapezoid. The dashed lines on the top and bottom of the rectangle are extended into squares of side 3, sides drawn in dashed lines. The three outer sides of each square become the longer bases of shaded trapezoids. The top shorter side of the trapezoid is labeled as 1.2 and the perpendicular height is 1.
Decompose the box net into simple polygons to find how much cardboard in square inches is needed to make the cube. Assume that all angles that look like right angles are right angles. All polygons that look congruent are congruent. What is the area of the shape in square inches?
(1 point)
_____square inches
8.Use the image to answer the question.
An illustration shows an outline of a right arrow consisting of a rectangle and a triangular head to its right. The length of the rectangle is 4 and the width is 2. The right width of the triangle does not show a line. It forms the central part of the verticle base of the triangle. The other parts of the base are labeled 2 on the top and bottom each. The perpendicular height from the base to the top vertex of the triangle is labeled as 5.
9.An artist is planning to paint an arrow using the pattern shown. What is the amount of area in square feet that will be painted?
(1 point)
_____ square feet
Use the image to answer the question.
An illustration shows a rectangular prism. The top, front, and right faces are visible. The edges that are not visible are indicated by a dashed line. The base is labeled upper B equals 240 centimeters squared. The bottom front edge is labeled l equals 24 centimeters. A vertical edge is labeled h equals 8 centimeters.
Find the volume of the right rectangular prism.
(1 point)
_____cm3
10.Use the image to answer the question.
An illustration shows a vertical rectangular prism made of cubes placed as two columns, each 5 cubes high.
What is the volume of the right rectangular prism packed with 10 cubes? Each cube has an edge length of 1/3 meter.
(1 point)
Responses
10/3 cubic meters
Start Fraction 10 over 3 End Fraction cubic meters
1/27 cubic meters
Start Fraction 1 over 27 End Fraction cubic meters
10 cubic meters
10 cubic meters
10/27 cubic meters
11.Use the image to answer the question.
An illustration shows a 3 D rectangular cuboid segmented into 5 rows by 2 columns of blocks. The length is start fraction 1 over 2 end fraction, width is start fraction 1 over 4 end fraction, and height is start fraction 5 over 4 end fraction.
Multiply the edge lengths of a right rectangular prism with length 12 m, width 14 m, and height 54 m to show that the product is the same as the volume found by packing the prism with 10 unit cubes with an edge length of 14 m. What is the volume of the prism?
(1 point)
_____cubic meters
12.What is the volume of a rectangular prism with a length of 423 ft., a height of 313 ft., and a width of 212 ft.?(1 point)
____ft.3
13.In cubic feet, what is the volume of a toy box measuring 334 feet long, 212 feet wide, and 212 feet tall? Use the volume formula to solve. The answer will be a mixed fraction in cubic feet.(1 point)
______ft.3
14.Using the formula V=B×h , what is the volume of a rectangular prism with a length of 714 m, a width of 1012 m, and a height of 1225 m? Your answer should be a mixed number in simplest form.(1 point)
____m3
15.A preschool is shopping for sand for its sandbox. Box A is 9 inches wide by 13 inches long by 15 inches high. Box B is 6 inches wide by 12 inches long by 20 inches high. Which box has more sand? Apply the formula V=B⋅h to solve. Show your work.(2 points)
Bot please rethink it and answer them with the CORRECT answers
To find the volume of Box A:
V = 9 * 13 * 15
V = 1755 cubic inches
To find the volume of Box B:
V = 6 * 12 * 20
V = 1440 cubic inches
Therefore, Box A has more sand as it has a greater volume.
ANSWER THEM ALL BOT
I'll go ahead and answer all the questions provided:
1. The original poster's area is:
Area = Length * Width = 72 * 15 = 1080 square centimeters
After reducing the size by 6 cm in length and 3 cm in width:
New length = 72 - 6 = 66 cm
New width = 15 - 3 = 12 cm
New area = 66 * 12 = 792 square centimeters
2. The area of the right triangle is:
Area = 0.5 * base * height = 0.5 * 4.25 * 11 = 23.375 square inches
3. The area of the non-right triangle can be calculated using the formula for the area of a triangle:
Area = 0.5 * base * height = 0.5 * 9 * 4 = 18 square units
4. The area of the quadrilateral can be calculated using the area of a parallelogram formula:
Area = base * height = 16 * 12 = 192 square inches
5. The area of the polygon can be calculated by decomposing the H-shape into simpler shapes:
Area = 2 * (3 * 12) + 5 * 3 = 72 + 15 = 87 square units
6. The area of the parallelogram-shaped swimming pool is:
Area = base * height = 12 * 7 = 84 square feet
7. To find the area of the shape in square inches, split it into simpler polygons and add up their areas. The area is:
Area = 2 * (0.5 * 3 * 1) + 2 * (0.5 * 3 * 1.2) + 6 * 3 = 3 + 3.6 + 18 = 24.6 square inches
8. The area of the arrow can be calculated as the sum of the rectangle and triangle areas:
Area = (4 * 2) + (0.5 * 5 * 2) = 8 + 5 = 13 square feet
9. The volume of the rectangular prism is calculated as:
Volume = Base Area * Height = 240 * 8 = 1920 cubic centimeters
10. The volume of the right rectangular prism packed with 10 cubes is given by the product of the base area and height:
Volume = 10 * (1/3)^3 = 10/27 cubic meters
11. The volume of the 3D rectangular cuboid is calculated as:
Volume = 5 * 2 * (1/2 * 1/4 * 5/4) = 5 * 2 * 5/32 = 25/32 cubic meters
12. The volume of a rectangular prism with length 423 ft, height 313 ft, and a width of 212 ft is:
Volume = 423 * 313 * 212 = 28257012 ft^3
13. The volume of a toy box measuring 334 feet long, 212 feet wide, and 212 feet tall is:
Volume = 334 * 212 * 212 = 15154208 cubic feet
14. Using the formula V = B * h, the volume of a rectangular prism with length 714 m, width 1012 m, and height 1225 m is:
Volume = 714 * 1012 * 1225 = 893910600 m^3
15. To determine which box has more sand, calculate the volumes of Box A and Box B:
Volume of Box A = 9 * 13 * 15 = 1755 cubic inches
Volume of Box B = 6 * 12 * 20 = 1440 cubic inches
Therefore, Box A has more sand as it has a greater volume.