Question

A container is shaped like a triangle prism. Each base of container is an equilateral triangle with the dimensions shown. The container has a height of 15 centimeters. What is the lateral surface area of the container in square centimeters?

Answer 1

`\text{Lateral surface area of container}=270\text{ cm}^2`

Explanation:

Please find the attachment.

We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.

To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.

`\text{Lateral surface area of triangular prism}=(a+b+c)*h`, where, a, b and c represent base sides of prism and h represents height of the prism.

Upon substituting our given values in above formula we will get,

`\text{Lateral surface area of container}=(\text{6 cm+ 6 cm+6 cm})*\text{15 cm}`

`\text{Lateral surface area of container}=\text{18 cm}*\text{15 cm}`

`\text{Lateral surface area of container}=270\text{ cm}^2`

Therefore, lateral surface area of our given container is 270 square cm.