8. Find the missing length. Round to the nearest tenth, if necessary. A right triangle has legs measuring 8 units and x units and a hypotenuse measuring 21 units. (1 point)
441
22.5
64
19.4
9. A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below.
"A diagram is shown of a triangular prism. The triangular base has two sides of length 10.25 millimeters and the third side of length 12.3 millimeters. A dashed line segment is drawn perpendicular to the 12.3-millimeter length side to the opposite vertex. This dashed line segment is labeled 8.2 millimeters. The height of the prism is 20.5 millimeters."

Which estimate is closest to the volume in cubic millimeters of the part?

(1 point)
306
768
1,008
2,016
10. The figure below shows two half-circles at the ends of a rectangle with the dimensions shown.

"A figure is shown with two half-circles at the ends of a rectangle. The rectangle at the center has a width of 20 inches and a height of 4 inches. The 4 inch ends of the rectangle are diameters of the two half-circles."
Which is closest to the area of the figure in square inches? (1 point)
93
130
86
105
11. Name the geometric solid suggested by a frozen juice can. (1 point)
sphere
rectangular prism
pyramid
cylinder
12. Lionel's front yard is in the shape of a square and has an area of 225 square meters. What is the length in meters of one side of Lionel's front yard? (1 point)
112.5
56.25
25
15
13. What is the surface area in square feet of a rectangular prism with dimensions of 2 feet by 3 feet by 4 feet as shown in the net?
A net diagram for a rectangular prism is shown.

(1 point)
52
46
40
24
14. Paul has a paperweight shaped like the square pyramid shown.
"A triangular prism is shown. The length of a side of the square base is 4 centimeters and the height of a triangular face is 6 centimeters."
What is the total surface area of Paul's paperweight in square centimeters? (1 point)
24
48
56
64
15. Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for π.
The circular face of a cylinder has a radius of 3 centimeters. The height of the cylinder is 18.2 centimeters. (1 point)
228 cm2
399.4 cm2
165.7 cm2
371.1 cm2
16. A gift box is 14 inches long, 8 inches wide, and 4 inches high. How much wrapping paper is needed to wrap the gift box? (1 point)
200 in.2
350 in.2
400 in.2
550 in.2
17. Alex needs to buy compressed air to fill empty cylindrical tanks for his tire store. Each tank is 12 feet deep and has a radius of 6 feet. What is the volume of compressed air needed to fill 5 tanks? (Use 3.14 for π.) (1 point)
565.2 ft3
1,356.5 ft3
3,452.6 ft3
6,782.4 ft3
18. Find the volume of a triangular prism with the following dimensions. Round to the nearest whole number.
triangle base: 7 ft
triangle height: 4 ft
prism height: 8.5 ft

(1 point)
20 ft3
65 ft3
119 ft3
238 ft3
19. When baking a cake, you have a choice of the following pans:
a round cake pan that is 2 inches deep and has a 7-inch diameter
a 6-inch × 9-inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer.

(2 points)
20. Consider the 6-inch × 9-inch rectangular cake that is 2 inches deep. If you cover the cake with frosting excluding the bottom, what is the surface area of the cake that will be covered with frosting? (2 points)
21. Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not. (2 points)

23.
Consider the cube shown below. Identify the two-dimensional shape of the cross-section if the cube is sliced horizontally.
Starting with the same cube, identify the two-dimensional shape of the cross-section if the cube is sliced vertically.
Explain why the shapes are the same or different.
cube (3 points)