Surface Area Flashcard

Front

What is Surface Area?

Back

Surface Area is the total area that the surface of a three-dimensional object occupies. It is measured in square units.

Front

How do you calculate the surface area of a rectangular prism?

Back

The surface area of a rectangular prism is calculated using the formula: SA = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

What is the surface area of a cube with a side length of 4 cm?

Back

The surface area of a cube is calculated using the formula: SA = 6s². For a cube with side length 4 cm, SA = 6(4)² = 96 cm².

Front

If a box has dimensions 3 cm x 4 cm x 5 cm, what is its surface area?

Back

SA = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 cm².

Front

What is the surface area of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

SA = 2πr(h + r) = 2π(3)(5 + 3) = 2π(3)(8) = 48π cm² (approximately 150.8 cm²).

Front

How many square centimeters of wrapping paper are needed to cover a box with a surface area of 180 cm²?

Back

You need 180 cm² of wrapping paper to cover the box.

Front

What is the total surface area of a prism with a base area of 20 cm² and a height of 10 cm?

Back

SA = 2 * base area + perimeter of base * height. If the perimeter is 16 cm, then SA = 2(20) + 16(10) = 40 + 160 = 200 cm².

Front

Find the total surface area of a rectangular brick with dimensions 5 cm x 9 cm x 20 cm.

Back

SA = 2(5*9 + 5*20 + 9*20) = 2(45 + 100 + 180) = 2(325) = 650 cm².

Front

What is the surface area of a sphere with a radius of 7 cm?

Back

SA = 4πr² = 4π(7)² = 196π cm² (approximately 615.75 cm²).

Front

If a cube has a surface area of 150 cm², what is the length of one side?

Back

SA = 6s², so 150 = 6s². Therefore, s² = 25, and s = 5 cm.