Surface Area Challenges: Prisms, Pyramids & Comparisons

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is its surface area?

• 60 cm²

• 70 cm²

• 94 cm²

• 80 cm²

Tags

CCSS.7.G.B.6

A triangular prism has a base area of 12 cm² and a height of 10 cm. Calculate the surface area if the lateral area is 60 cm².

• 72 cm²

• 90 cm²

• 50 cm²

• 84 cm²

Tags

CCSS.7.G.B.6

If a square pyramid has a base side length of 6 cm and a height of 8 cm, what is its surface area?

• 72 cm²

• 48 cm²

• 24 + 6√73 cm²

• 36 + 12√73 cm²

Tags

CCSS.7.G.B.6

Compare the surface area of a cube with a side length of 4 cm to a rectangular prism with dimensions 4 cm by 4 cm by 6 cm. Which has a greater surface area?

• Both have the same surface area.

• The rectangular prism has a smaller surface area.

• The cube has a greater surface area.

• The rectangular prism has a greater surface area.

Tags

CCSS.6.G.A.4

A cylinder has a radius of 3 cm and a height of 10 cm. Calculate its surface area and compare it to a rectangular prism with the same height and a base area of 28.26 cm².

• The surface area of the cylinder is approximately 245.04 cm², which is greater than the surface area of the rectangular prism, approximately 162.92 cm².

• The surface area of the cylinder is 150.8 cm², which is less than the rectangular prism's surface area of 200 cm².

• The surface area of the cylinder is 180 cm², which is slightly greater than the rectangular prism's surface area of 175 cm².

• The surface area of the cylinder is 300 cm², which is equal to the surface area of the rectangular prism.

A pyramid has a square base with a side length of 5 cm and a slant height of 7 cm. What is the total surface area of the pyramid?

• 80 cm²

• 100 cm²

• 95 cm²

• 75 cm²

Tags

CCSS.7.G.B.6

If a rectangular prism has a surface area of 94 cm² and dimensions of 5 cm by 3 cm, what is the height of the prism?

• 6 cm

• 5 cm

• 4 cm

• 3 cm

Tags

CCSS.7.G.B.6

A triangular prism has a base of 6 cm, a height of 4 cm, and a length of 10 cm. What is the surface area of the prism?

• 150 cm²

• 180 cm²

• 196.1 cm²

• 220 cm²

Tags

CCSS.7.G.B.6

A box is shaped like a rectangular prism with dimensions 2 m by 3 m by 4 m. How much wrapping paper is needed to cover the entire box?

• 40 m²

• 60 m²

• 48 m²

• 52 m²

Tags

CCSS.7.G.B.6

If a square pyramid has a surface area of 50 cm² and a base side length of 5 cm, what is the height of the pyramid?

• 5 cm

• 10 cm

• 7 cm

• 3 cm

Tags

CCSS.7.G.B.6