Question

What is the minimum amount of cloth that was used to make the tent shown below? A triangular prism. The triangular base has a base of 6 feet and height of 4 feet. The prism has a height of 10 feet. 120 feet squared 160 feet squared 184 feet squared 208 feet squared

Answer 1

184

Explanation:

Answer 2

The minimum amount of cloth that was used to make the tent 184ft²

Explanation:

This problem bothers on the mensuration of solid shapes. And the solution required is the total area of the tent

Let us begin by solving for the areas of the two triangular sides

Area of triangle =1/2(b*h)

From the shape base b= 6ft

Height h= 4ft

Area = 1/2(6*4)

Area = 1/2(24)

Area = 12f²

Since the triangular shape is two total area =2*12= 24ft²

Also the area of the two rectangular sides with length l= 10ft

Width w= 5ft

Area = 10*5= 50ft²

Since the rectangular sides are two total area is = 50*2= 100ft²

Also the base of the tent has a rectangular shape with

length l= 10ft

Width w= 6ft

Area = 10*6= 60ft²

Hence total surface area of the tent is 24+100+60= 184ft²