Retake 8.MG2 Surface Area and Volume

Determine the surface area of a square-based pyramid with a base side length of 6 cm and a slant height of 10 cm.

• 96 cm²

• 120 cm²

• 156 cm²

• 180 cm²

Tags

VA.8.MG.2.a

• 120 cm³

• 150 cm³

• 180 cm³

• 192 cm³

Tags

VA.8.MG.2.b

Explain the relationship between the volume of a cone and a cylinder with the same base radius and height.

• The volume of the cone is twice the volume of the cylinder.

• The volume of the cone is half the volume of the cylinder.

• The volume of the cone is one-third the volume of the cylinder.

• The volume of the cone is equal to the volume of the cylinder.

Tags

VA.8.MG.2.c

A square-based pyramid has a base area of 25 cm² and a height of 12 cm. What is its volume?

• 75 cm³

• 100 cm³

• 125 cm³

• 150 cm³

Tags

VA.8.MG.2.b

If a square-based pyramid has a base side length of 8 cm and a slant height of 15 cm, what is its surface area?

• 224 cm²

• 256 cm²

• 280 cm²

• 320 cm²

Tags

VA.8.MG.2.a

A cone and a cylinder have the same base radius and height. If the volume of the cylinder is 300 cm³, what is the volume of the cone?

• 100 cm³

• 150 cm³

• 200 cm³

• 300 cm³

Tags

VA.8.MG.2.c

Solve the problem: A square-based pyramid has a base side length of 10 cm and a height of 15 cm. What is its volume?

• 250 cm³

• 300 cm³

• 500 cm³

• 750 cm³

Tags

VA.8.MG.2.d

Determine the surface area of a square-based pyramid with a base side length of 5 cm and a slant height of 13 cm.

• 130 cm²

• 145 cm²

• 160 cm²

• 175 cm²

Tags

VA.8.MG.2.a

Grace is building a model of a square-based pyramid for her school project. The base of the pyramid has an area of 36 cm² and the height of the pyramid is 10 cm. Calculate the volume of the pyramid.

• 100 cm³

• 120 cm³

• 150 cm³

• 180 cm³

Tags

VA.8.MG.2.b

Compare the volume of a square-based pyramid to that of a rectangular prism when both have identical base areas and heights.

• The volume of the pyramid is twice the volume of the prism.

• The volume of the pyramid is half the volume of the prism.

• The volume of the pyramid is one-third the volume of the prism.

• The volume of the pyramid is equal to the volume of the prism.

Tags

VA.8.MG.2.c