Unit Test (Volume and Surface Area)

What is the volume, in cubic centimeters, of a sphere whose diameter is 6 cm? Use 3.14 for pi.

• 37.68 cm³

• 150 75 cm³

• 904.32 cm³

• 113.04 cm³

What is the volume of the pyramid below?

• 18 yd³

• 6 yd³

• 3 yd³

• 12 yd³

What is the surface area of a square-based pyramid that has 29 cm² as the base area and 16 cm² as the area of one of the triangular faces?

• 109 cm²

• 45 cm²

• 122 cm²

• 93 cm²

The cone shown below has a height of 5 inches and a radius of 1.5 inches. What is the approximate volume of the cone?

• between 11 and 12 inches³

• between 15 and 16 inches³

• between 15 and 16 inches³

• between 39 and 40 inches³

Marco is building a model of a square pyramid. He wants to cover the entire model, including the base, with gray paper. How many square feet of paper will he need to cover the model?

• 40 ft²

• 46 ft²

• 56 ft²

• 96 ft²

PAST CONCEPT: The locations of Andy’s house, school and local park form a triangle, as shown. Which is a possible distance from the local park to Andy’s school?

• 4 miles

• 8 miles

• 10 miles

• 11 miles

What is the diameter of a sphere whose surface area is 20.25 $\pi$   square centimeters?

• 2.25 cm

• 4.5 cm

• 5.5 cm 

• 20.25 cm   

What is the surface area of the right cone below if its volume is 50 cubic centimeters?

• 38 cm²

• 57 cm²

• 113 cm²

• 226 cm²

PAST CONCEPT: What is the value of  $\theta$                         correct to the nearest degree?

• 29 degrees

• 35 degrees

• 56 degrees

• 61 degrees

PAST CONCEPT: The bottom of a ladder must be placed 4 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? Round your answer to the nearest tenth.

• 10.6 feet

• 11.9 feet

• 11.3 feet

• 128 feet