Surface Area of Prisms and Cylinders Concept Check

Front

What is the surface area of a rectangular prism with dimensions 10 cm x 5 cm x 4 cm?

Back

Surface Area = 2(lw + lh + wh) = 2(10*5 + 10*4 + 5*4) = 2(50 + 40 + 20) = 2(110) = 220 cm².

Front

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

Back

SA = bh + l(s1 + s2 + s3), where b is the base, h is the height, and l is the length of the prism.

Front

Calculate the surface area of a cylinder with a radius of 3 cm and a height of 7 cm.

Back

SA = 2πr(h + r) = 2π(3)(7 + 3) = 2π(3)(10) = 60π ≈ 188.5 cm².

Front

What does 'h' represent in the surface area formulas for prisms and cylinders?

Back

'h' represents the height of the prism or cylinder.

Front

What is the surface area of a cylinder with a radius of 5 inches and a height of 10 inches?

Back

SA = 2πr(h + r) = 2π(5)(10 + 5) = 2π(5)(15) = 150π ≈ 471.2 in².

Front

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

Back

Surface Area = 6s² = 6(4)² = 6(16) = 96 cm².

Front

What is the perimeter of the base of a cylinder with a radius of 4 cm?

Back

P = 2πr = 2π(4) = 8π ≈ 25.1 cm.

Front

What is the surface area of a triangular prism with a base of 6 cm, height of 8 cm, and length of 10 cm?

Back

SA = bh + l(s1 + s2 + s3) = 6*8 + 10(6 + 8 + 10) = 48 + 240 = 288 cm².

Front

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

Back

SA = 2(lw + lh + wh).

Front

What does 'r' stand for in the surface area formulas?

Back

'r' stands for the radius of the base of the cylinder.