What is the volume of the rectangular prism? A prism has a length of 5 centimeters, height of 8 and one-half centimeters, and wi

Question

3 years ago

12

What is the volume of the rectangular prism? A prism has a length of 5 centimeters, height of 8 and one-half centimeters, and wi

dth of 3 and three-fourths centimeters. 17 and one-fourth cm3 18 and three-fourths cm3 27 and one-fourth cm3 159 and StartFraction 3 Over 8 EndFraction cm3

Mathematics

2 answers:

Luden [163] · Answer 1 · 2022-02-14T07:37:33+03:00

Luden [163]3 years ago

8 0

Answer:

d

Step-by-step explanation:

nlexa [21] · Answer 2 · 2022-02-14T05:47:16+03:00

Answer:

Option D: 159 3/8 cm^3

Step-by-step explanation:

1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3

2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ Base * height = length * width * height

3. Substitute and compute the volume through algebra:

5 cm * 8 1/2 cm * 3 3/4 cm =

5 cm * 17/2 cm * 15/4 cm =

85/2 cm^2 * 15/4 cm =

1275/8 cm^3 =

159 3/8 cm^3

4. This means that the Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)