Surface Area Skills

Find the surface area of this figure.

• 148 cm²

• 120 cm²

• 104 cm²

• 74 cm²

Answer explanation

The correct answer is 148 cm² because the surface area of the figure was calculated to be 148 cm².

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.

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.

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.

A cube has each edge measuring 5 cm. Calculate its total surface area.

• 150 cm²

• 125 cm²

• 75 cm²

• 100 cm²

Answer explanation

To calculate the total surface area of a cube, we use the formula 6 * (edge length)^2. Substituting the edge length of 5 cm, we get 6 * (5)^2 = 150 cm². Therefore, the total surface area is 150 cm².

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.

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.

What is the total surface area of this rectangular prism?

Mathematical Equivalence

ON

You will need to find the surface area of the package.

Surface Area = Find the areas of front, back, left, right, top, bottom.... Then add them all up.

Mathematical Equivalence

ON

• 8 cm

• 10 cm

• 11 cm

• 14 cm

Answer explanation

To find the height of the rectangular prism, divide the surface area by the product of length and width: 448 / (8 * 7) = 8 cm. Therefore, the height is 8 cm.