Question

Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?

Answer 1

The right answer was b 

Answer 2

Answer:

Second prism has the square has the same volume of 108 m².

Step-by-step explanation:

Since the dimensions of the square prism are as below

area = 36 m²

h = 3 m

Therefore volume of this prism = side² × h = area × h = 36 × 3 = 108 m².

now we will calculate the volume of every prism given in the picture

1) its a right angled tent or prism so the formula of volume will be

V = 1/2×(length of base × width of base)× Height

  = 1/2×(3×2×6) = 36/2 = 18 m²

2). Volume of rectangular prism = length × width × height = 2 × 18 × 3 = 108 m²

3). Volume of a tent or prism = 1/2 × length of the base × width × height of the tent

= 1/2×4×9×3 = 1/2×108 = 54 m²

Therefore image 2 rectangular prism has the same volume of 108 m².