Perimeter, Area and Volume: Practice Questions

A rectangular prism has a length of \( 8\text{ cm} \), a width of \( 5\text{ cm} \), and a height of \( 4\text{ cm} \). Find the total surface area of the prism.

Find the area of a circle if its circumference is \( 20\pi\text{ cm} \). (Give your answer in terms of \( \pi \))

Find the area of a trapezoid where the lengths of the two parallel sides are \(8\text{ cm}\) and \(12\text{ cm}\), and the perpendicular distance between them is \(5\text{ cm}\).

A circle has a radius of 7 cm. Find its area. (Take \( \pi = \frac{22}{7} \))

The radius of a circular track is 14 m. Find the distance a runner covers in one complete lap around the track. (Take \( \pi = \frac{22}{7} \))

A rectangular prism has a length of \( 12 \text{ cm} \), a width of \( 5 \text{ cm} \), and a height of \( 8 \text{ cm} \).
(a) Calculate the total surface area of the prism.
(b) Calculate the volume of the prism.

The length of a rectangle is \( 5 \text{ cm} \) longer than its width. The perimeter of the rectangle is \( 34 \text{ cm} \).
(a) Find the width and the length of the rectangle.
(b) A square has the same perimeter as this rectangle. Find the area of the square.