Surface Area and Volume Applications

The Great Pyramid at Giza has a square base with sides of length 230 meters. It has a height of 146.7 meters. Approximately what is the volume of the Great Pyramid?

• 2590000 m³
• 7760000 m³
• 1650000 m³
• 4950000 m³

How much leather is needed to cover a basketball with a diameter of 14 inches?

• 615.44 in²
• 1932.48 in²
• 2461.76 in²
• 4308.08 in²

A rectangular prism has a volume of 150 cm³. If the height measures 3 cm and the width measures 2 cm, what must the length be to achieve the given volume?

• 145 cm
• 13.8 cm
• 25 cm
• 144 cm

How much more liquid would fit in the cylinder if it was already half full?

• 603.43 cm³
• 301.44 cm³
• 201.14 cm³
• 1206.86 cm³

What is the approximate volume of the solid shown?

• 150.72 in³
• 125.6 in³
• 175.84 in³
• 163.28 in³

A teepee in the shape of a cone has a slant height of 18.5 feet and a diameter of 20 feet. Approximately how much canvas would be needed to cover the outside of the teepee?

• 89 sq ft
• 58 sq ft
• 116 sq ft
• 581 sq ft

A solid ball with a diameter of 2 inches is dropped into a cup with a diameter of 3 inches and a height of 8 inches. Assuming the ball cannot absorb liquid and will sink to the bottom of the cup, what volume of water can the cup now hold? 

• 76 cu in
• 26  cu in
• 104 cu in
• 52 cu in

The volume of a cube is 64 cubic centimeters. What is the surface area of the cube?

• 16 cm ²
• 96 cm²
• 256 cm²
• 384 cm²