Unit 2: Shapes, Areas and Volumes

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?

• 1286 in³
• 1455 in³
• 1476 in³
• 1569 in³

Find the radius of a cylinder that is 20 inches tall and has a volume of 19242.24 cubic inches. 

• 16
• 16.5
• 17.2
• 17.5

Two similar pyramids have heights of 4 inches and 7 inches.  What is the ratio of the volume of the small pyramid to the volume of the large pyramid? 

• 4:7
• 16:49
• 64:343
• 12:21

Find the volume. Round to the nearest whole mm³

• 700 mm³
• 817 mm³
• 350 mm³
• 944 mm³

Find the volume of the following shape.

(What two solids are being added together??)

• 4155.27 m³

• 1038.82 m³

• 804.24 m³

• 1005.31 m³

What is the total surface area of the triangular prism shown? 

• 468 in²
• 540 in²
• 576 in²
• 700 in²

Calculate the surface area of the given shape. Round to the nearest tenth.

• 282.7 in²

• 56.5 in²

• 188.5 in²

• 245.0 in²

What is the perimeter of the trapezoid?

• 20 units

• 5 units

• 18 units

• 24 units

Find a simplified expression for the area of the shaded region.

• 2x² + 2x + 13
• 10x + 5
• 10x + 13
• 2x² + 13