Surface Area of Cylinders and Rectangular Prisms

Front

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

Back

The surface area (SA) of a cylinder is given by the formula: SA = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

The lateral surface area (LSA) of a cylinder is given by the formula: LSA = 2πrh, where r is the radius and h is the height.

Front

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

Back

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

Front

What does 'lateral surface area' mean?

Back

Lateral surface area refers to the area of the sides of a 3D shape, excluding the top and bottom surfaces.

Front

How do you calculate the surface area of a cylinder using pi?

Back

To calculate the surface area of a cylinder, use the formula SA = 2πr(h + r) and substitute 3.14 for π.

Front

What is the significance of rounding in surface area calculations?

Back

Rounding is important in surface area calculations to provide a practical and usable measurement, especially in real-world applications.

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its lateral surface area?

Back

LSA = 2πrh = 2 × 3.14 × 5 × 10 = 314 cm².

Front

What is the total surface area of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

SA = 2πr(h + r) = 2 × 3.14 × 3(7 + 3) = 188.4 cm².

Front

How do you find the surface area of a box (rectangular prism) with dimensions 4 cm, 5 cm, and 6 cm?

Back

SA = 2(lw + lh + wh) = 2(4×5 + 4×6 + 5×6) = 2(20 + 24 + 30) = 2(74) = 148 cm².

Front

What is the surface area of a cylinder with a diameter of 10 cm and a height of 5 cm?

Back

First, find the radius (r = diameter/2 = 5 cm). Then, SA = 2πr(h + r) = 2 × 3.14 × 5(5 + 5) = 314 cm².