Surface Area Review

What is the formula for the surface area of a rectangular prism?

• lwh

• 2lw + 2lh + 2wh

• 2lw + 2lh + wh

• l^2 + w^2 + h^2

Answer explanation

The correct formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, which includes the sum of the areas of all six faces of the prism.

Calculate the surface area of a rectangular prism with dimensions: length = 5 cm, width = 3 cm, height = 4 cm.

• 56 cm^2

• 120 cm^2

• 94 cm^2

• 72 cm^2

Answer explanation

To calculate the surface area of a rectangular prism, use the formula: 2lw + 2lh + 2wh. Substituting the given values, we get: 2(5*3) + 2(5*4) + 2(3*4) = 30 + 40 + 24 = 94 cm^2. Therefore, the correct answer is 94 cm^2.

What is the formula for the surface area of a cylinder?

• πr^2h

• 2πrh

• 2πr^2

• 2πr(r + h)

Answer explanation

The correct formula for the surface area of a cylinder is 2πr(r + h), where r is the radius and h is the height of the cylinder.

Calculate the surface area of a cylinder with radius 2 cm and height 6 cm.

• 37.68 cm^2

• 75.36 cm^2

• 28.26 cm^2

• 54.12 cm^2

Answer explanation

To calculate the surface area of a cylinder, use the formula 2πr(r+h), where r is the radius and h is the height. Substituting r=2 cm and h=6 cm, we get 2*3.14*2(2+6) = 75.36 cm^2.

How do you find the surface area of a composite figure?

• Calculate the surface area of each component shape and sum them up.

• Use the volume formula to calculate the surface area

• Find the perimeter of the figure and multiply it by the height

• Divide the figure into smaller shapes and calculate the area of each shape separately

Answer explanation

Calculate the surface area of each component shape and sum them up.

Calculate the surface area of a composite figure made up of a rectangular prism with dimensions: length = 4 cm, width = 2 cm, height = 3 cm, and a cylinder with radius 3 cm and height 5 cm.

• Surface area = 2(2*4 + 4*3 + 2*3) + 2(3.14*3*5 + 3.14*3^2) = 94.2 cm^2

• Surface area = 2(2*4 + 4*3 + 2*3) + 2(3.14*3*5 + 3.14*3^2) = 104.2 cm^2

• Surface area = 2(2*4 + 4*3 + 2*3) + 2(3.14*3*5 + 3.14*3^2) = 84.2 cm^2

• Surface area = 2(2*4 + 4*3 + 2*3) + 2(3.14*3*5 + 3.14*3^2) = 74.2 cm^2

Answer explanation

The correct choice is Surface area = 2(2*4 + 4*3 + 2*3) + 2(3.14*3*5 + 3.14*3^2) = 94.2 cm^2 as it correctly calculates the surface area of the composite figure.

What is the formula for the volume of a rectangular prism?

• length + width + height

• length * width * height

• length x width + height

• length x width x height

Answer explanation

The correct formula for the volume of a rectangular prism is length x width x height, as it involves multiplying all three dimensions together.

Calculate the volume of a rectangular prism with dimensions: length = 6 cm, width = 4 cm, height = 5 cm.

• 60 cubic cm

• 25 cubic cm

• 120 cubic cm

• 30 cubic cm

Answer explanation

To find the volume of a rectangular prism, multiply the length, width, and height: 6 cm * 4 cm * 5 cm = 120 cubic cm. Therefore, the correct answer is 120 cubic cm.

What is the formula for the volume of a cylinder?

• V = πr^2h

• V = 2πrh

• V = πrh

• V = 2πr^2h

Answer explanation

The correct formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height of the cylinder.

Calculate the volume of a cylinder with radius 3 cm and height 8 cm.

• 226.19504 cm^3

• 75.36 cm^3

• 144.513 cm^3

• 226.19504 cm^2

Answer explanation

Calculate the volume of a cylinder using the formula V = πr^2h. Substituting r=3 cm and h=8 cm, V = π(3^2)(8) = 226.19504 cm^3.