Math III - Volume and Surface Area Test Review

A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.

• 10250 cm3
• 11250 cm3
• 11250 ft3
• 10250 ft3

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A juice box measures 4 cm long, 10 cm high, and 5 cm wide. What is the volume of the juice box?

• 200 cm³

• 40 cm³

• 50 cm³

• 19 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

The height of a cone is equal to two times the radius of the base. If the base has an area of 25π, what is the volume of the cone?

• 83.3π
• 250π
• 10
• 5

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a hemisphere has V=18π, what is the value of the radius?

• 3
• 13.5
• 54
• 108

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Sarah needs a PVC cylinder pipe with a diameter of 10 inches and a height of 2 inches, how much material is needed to make 5 pipes?

• 62.8 inches ²

• 219.8 inches ²

• 314 inches ²

• 422 inches ²

Tags

CCSS.7.G.B.4

CCSS.7.G.B.6

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

• 176.6 ft³
• 141.3 ft³
• 88.3 ft³
• 70.7 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.

• 58.29 cm²

• 58.29 cm³

• 233.15 cm²

• 233.15 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Shelby just bought a giant beach ball that is 72 in across the center. How much air will she need to fill it?

3.14 for π.

• 1,562,660 in³

• 195,333 in³

• 5,425.92 in³

• 16,278 in²

• 65,111 in²

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The surface area of a sphere is 11,304 m². What is the volume of the sphere? Use 3.14 for pi. Round your answer to the nearest cubic meter.

• 22,608 m³

• 113,040 m³

• 381,510,000 m³

• Not Enough Information

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

V = ?

• 1,356 m³
• 1,734 m³
• 377 m³
• 590 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3