Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m30.35\text{ m}^30.35 m30, point, 35, start text, space, m, end text, cubed of fluffy material. What is the length of the pillow? Give an exact answer (do not round).

Complete question is;

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy

material. The Height is 0.5 m and the

Base is 1 m.

What is the length of the pillow?

Give an exact answer (do not round)

length of Pillow  = 1.4 m

Step-by-step explanation:

This wedge will be the shape of a triangular prism. The volume of a triangular prism is given as;

V = area of base x length = ½ × base × height × length

Thus;

Volume of Wedge = ½ × base × height × length

We are given;

base = 1 m

height = 0.5 m

Volume = 0.35m³

And we want to find the Length(L)

Thus;

½ × 0.5 × 1 × L  = 0.35

L/4 = 0.35

Multiply both sides by 4 to give;

L = 0.35 × 4

L = 1.4 m

length of Pillow  = 1.4 m