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What is the volume of the right rectangular prism below?




A
434 cubic inches
B
418 cubic inches
C
334 cubic inches
D
218 cubic inches

What is the volume of the right rectangular prism below? ​ ​ A 434 cubic inches B-example-1

2 Answers

4 votes

The volume of the right rectangular prism is 3.75 cubic inches.

To find the volume of the right rectangular prism, we'll use the formula: Volume = length × width × height. The given dimensions are:

Length = 2 inches

Width = 1 (1/4) inches

Height = 1 (1/2) inches

Now, substitute these values into the formula:

Volume = 2 inches × 1 (1/4) inches × 1 (1/2) inches

To multiply these fractions, convert the mixed numbers to improper fractions:

Volume = 2 inches × (5/4) inches × (3/2) inches

Multiply the numerators and denominators:

Volume = (2 × 5 × 3) / (4 × 2) = 30 / 8 = 15 / 4 = 3.75 cubic inches.

None of the provided answer choices (A, B, C, D) matches the calculated volume of 3.75 cubic inches.

User Nayra
by
5.3k points
0 votes

Answer:

Volume of right rectangular prism = 3.75 in³

Explanation:

Given:

First side of rectangular prism = 2 inches

Second side of rectangular prism = 1
(1)/(2) = 1.5 inches

Third side of rectangular prism = 1
(1)/(4) = 1.25 inches

Find:

Volume of right rectangular prism:

Computation:


Volume\ of\ right\ rectangular\ prism=lbh\\\\Volume\ of\ right\ rectangular\ prism=(2)(1.5)(1.25)\\\\ Volume\ of\ right\ rectangular\ prism= 3.75 in^3

User TalOrlanczyk
by
4.5k points