SOMEONE PLS PLS TELL ME THR RIGHT ANSWER AND HOW TODO IT PSS Mary has a toy which is in the shape of a right prism with triangular bases. The sides of its bases are each 4 feet and its approximate height is 3.5 feet. The length of the prism between the bases is 10 feet. What is the approximate surface area of this right prism?

surface area = 142.2 feet²

Step-by-step explanation:

The right prism has 2 triangular faces whose base is 4 feet and the height is 3.5 feet. The formula for determining the area of each is expressed as

Area = 1/2 × base × height

Area of both faces = 2 × 1/2 × 4 × 3.5 = 14 ft²

Considering the rectangular sides, Area of the base is 4 × 10 = 40 ft²

Area of the end is 3.5 × 10 = 35 ft²

To determine the width of the rectangular top, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Width = hypotenuse

Opposite side = 3.5

Adjacent side = 4

Width² = 3.5² + 4² = 28.25

Width = √28.25 = 5.32 feet

Area of rectangular top = 5.32 × 10 = 53.2 feet

Therefore, the approximate surface area of this right prism is

14 + 40 + 35 + 53.2 = 142.2 feet²

1e+27

step-by-step explanation: