A rectangular prism 10 centimeters high is constructed out of cube-shaped bricks with side length of 0.5 cm. If the prism’s volume is 40 cm^3, how many cubes make up the prism’s base?

a. 8
b. 16
c. 20
d. 32

Respuesta :

Answer: A

Step-by-step explanation:

you need to find the width of the prism.

10* 0.5*w= 40  where w is the width.

5w= 40

w=8

8 cubes make up the prism’s base which the correct option(A)

What is the volume of the rectangular prism?

The volume of the rectangular prism is defined as it is the product of the base area of a prism by its height,  So the volume of a prism = base area × height.

Since a rectangular prism’s base is a rectangle itself, the volume of a rectangular prism, by applying the formula given above, will be:

Volume of a rectangular prism (V) = l × w × h

Where, “l” means the base length, and“w” means the base width, “h” means the height.

Given data as :

Volume of the rectangular prism = 40 cubic cm

The length of the prism (l) = 0.5 centimeters

The height of the prism (h) = 10  centimeters

To determine the width of the prism (w).

Since, Volume of a rectangular prism (V) = l × w × h

Substitute the values in the formula,

40 = 10 × w × 0.5

40 = 5 × w

5w= 40

w=8

So, the width of the prism = 8 cm

Hence, 8 cubes make up the prism’s base.

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