Big Ideas Surface Area

Find the surface area of the solid. Do not round your answer.

Tags

CCSS.7.G.B.6

Find the surface area of the solid.

Tags

CCSS.7.G.B.6

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 18 feet, and a height of 12 feet?

Tags

CCSS.7.G.B.6

Find the total surface area of the prism.

• 161 square feet

• 1,700 square feet

• 75 square feet

• 186 square feet

Tags

CCSS.7.G.B.6

A swimming pool is in the shape of a rectangular prism with dimensions 25 m by 10 m by 2 m. What is the total surface area of the pool?

Tags

CCSS.7.G.B.6

A cube has a side length of 3 cm. What is the surface area of the cube?

• 54 cm²

• 27 cm²

• 81 cm²

• 36 cm²

Answer explanation

To find the surface area of a cube, use the formula 6 * (side length)^2. Substituting 3 cm for the side length, we get 6 * (3)^2 = 54 cm². Therefore, the correct answer is 54 cm².

Tags

CCSS.6.G.A.4

A cube has a side length of 7 cm. What is the surface area of the cube?

• 294 cm²

• 196 cm²

• 147 cm²

• 343 cm²

Answer explanation

To find the surface area of a cube, use the formula 6 * (side length)^2. Substituting 7 cm for the side length, we get 6 * (7)^2 = 294 cm², which is the correct answer.

Tags

CCSS.6.G.A.4

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

• 248 cm²

• 168 cm²

• 192 cm²

• 120 cm²

Answer explanation

To find the surface area of a rectangular prism, use the formula 2lw + 2lh + 2wh. Plugging in the values, we get 2(10*6) + 2(10*4) + 2(6*4) = 192 cm².

Tags

CCSS.7.G.B.6

A rectangular prism has dimensions of 5 cm, 3 cm, and 4 cm. Calculate the total surface area of the prism.

• 94 cm²

• 60 cm²

• 120 cm²

• 54 cm²

Answer explanation

To calculate the total surface area of a rectangular prism, use the formula 2lw + 2lh + 2wh. Substituting the given dimensions (5, 3, 4) into the formula gives 2(5*3) + 2(5*4) + 2(3*4) = 30 + 40 + 24 = 94 cm².

Tags

CCSS.7.G.B.6

A rectangular prism has dimensions 8 cm by 5 cm by 2 cm. What is the total surface area?

• 148 cm²

• 132 cm²

• 76 cm²

• 92 cm²

Answer explanation

To find the total surface area of a rectangular prism, use the formula 2lw + 2lh + 2wh. Substituting the given dimensions, we get 2(8*5) + 2(8*2) + 2(5*2) = 132 cm².

Tags

CCSS.7.G.B.6