## Which rectangular prism will have the largest volume? l = 4 cm, w = 5 cm, h = 3 cm h = 3 cm, l = 6 cm, w = 3 cm

Question

Which rectangular prism will have the largest volume?

l = 4 cm, w = 5 cm, h = 3 cm

h = 3 cm, l = 6 cm, w = 3 cm

w = 6 cm, h = 6 cm, l = 2 cm

w = 3 cm, l = 5 cm, h = 5 cm

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3 months 2021-07-21T09:51:14+00:00 2 Answers 0 views 0

D. 75 is the required answer.

Step-by-step explanation:

Here,

• We have given the length, width and height of four rectangular prism. We need to find; Which rectangular prism will have the largest volume.

Calculate the volumes of each prism. Choose the largest volume.

We use the formula

Volume of rectangular prism = l × w × h.

A. l = 4cm, w = 5cm , h = 3cm

Volume = 4cm × 5cm × 3cm = 60 cm³.

B. h = 3cm , l = 6cm, w = 3cm

Volume = 3cm × 6cm × 3cm = 54 cm³.

C. w = 6 cm, h = 6 cm, l = 2 cm

Volume = 6cm × 6cm × 2cm = 72 cm³.

D.w = 3 cm, l = 5 cm, h = 5 cm

Volume = 3cm × 5cm × 5cm = 75 cm³.

• ( D.)= 75cm³is the largest volume in all of above rectangular prism.

Hence, D. 75 is the required answer.

Step-by-step explanation:

To find the volume of a rectangular prism, we use the formula V=lwh. All we have to do is find the volume of each answer choice and find the largest volume.

A.

V=4×5×3=60 cm³

B.

V=3×6×3=54 cm³

C.

V=6×6×2=72 cm³

D.

V=3×5×5=75 cm³

Looking at the answer choices, the largest volume is D. 75 cm³.