Prism Problems: Surface Area & Volume Challenges for 7th Grade

A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 4 cm. What is the surface area of the prism?

• 250 cm²

• 180 cm²

• 220 cm²

• 200 cm²

A cylinder has a radius of 3 cm and a height of 7 cm. Calculate the volume of the cylinder.

• 197.82 cm³

• 180.50 cm³

• 250.00 cm³

• 150.78 cm³

If a cube has a side length of 6 cm, what is its surface area?

• 180 cm²

• 120 cm²

• 216 cm²

• 144 cm²

A triangular prism has a base area of 20 cm² and a height of 10 cm. What is the volume of the prism?

• 200 cm³

• 150 cm³

• 250 cm³

• 100 cm³

A cylinder is filled with water and has a height of 12 cm and a diameter of 8 cm. What is the volume of the water it can hold?

• 602.88 cm³

• 1000 cm³

• 800 cm³

• 400 cm³

A rectangular prism has a surface area of 150 cm². If the length is 10 cm and the width is 5 cm, what is the height of the prism?

• 5/3 cm

• 7 cm

• 4 cm

• 6 cm

A cone has a radius of 4 cm and a height of 9 cm. What is the volume of the cone, and how does it compare to a cylinder with the same base and height?

• The volume of the cone is 24π cm³, which is one-fourth of the volume of the cylinder (96π cm³).

• The volume of the cone is 64π cm³, which is equal to the volume of the cylinder (64π cm³).

• The volume of the cone is 36π cm³, which is half of the volume of the cylinder (72π cm³).

• The volume of the cone is 48π cm³, which is one-third of the volume of the cylinder (144π cm³).

A square prism has a base side length of 5 cm and a height of 10 cm. What is the surface area of the prism?

• 250 cm²

• 300 cm²

• 150 cm²

• 200 cm²

If a cylinder has a volume of 100 cm³ and a height of 5 cm, what is the radius of the base?

• 5.00 cm

• 2.52 cm

• 1.00 cm

• 3.14 cm

A rectangular prism is used to store books. If the dimensions are 15 cm by 10 cm by 20 cm, what is the total surface area of the storage box?

• 1500 cm²

• 1200 cm²

• 1000 cm²

• 1300 cm²