Help need to know how to find the answer

A. 84 cubic inches

Step-by-step explanation:

Volume = volume of triangular prism + volume of rectangular prism

✔️Volume of triangular prism = ½*b*h*l

b = 4 in.

h = 4.5 in.

l = 4 in.

Volume of triangular prism = ½*4*4.5*4 = 36 in.³

✔️Volume of rectangular prism = L*W*H

L = 4 in.

W = 4 in.

H = 3 in.

Volume of rectangular prism = 4*4*3 = 48 in.³

✔️Total volume = 36 + 48 = 84 in.³

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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