Question

Which is the correct calculation for the volume of the prism? A prism has a length of 3 centimeters, height of 6 centimeters, and width of 2 and three-fourths centimeters. 6 times 3 + 2 and three-fourths = 20 and three-fourths cm3 6 times 3 times 2 and three-fourths = 49 and one-half cm3 6 + 3 + 2 and three-fourths = 11 and three-fourths cm3 3 and 2 and three-fourths = 8 and one-fourth cm3

Answer 1

Three-fourths times 3

Explanation:

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Answer 2

6 times 3 times 2 and three-fourths = 49 and one-half cm³

Explanation:

Given prism:

- length of 3 centimeters, height of 6 centimeters, and width of 2 and three-fourths centimeters

length: 3 cm

height: 6 cm

width: 2.75 cm

Given statements:

6 times 3 + 2 and three-fourths = 20 and three-fourths cm³

6 times 3 times 2 and three-fourths = 49 and one-half cm³

6 + 3 + 2 and three-fourths = 11 and three-fourths cm³

3 and 2 and three-fourths = 8 and one-fourth cm³

Rectangular prism:
`\text{Volume}= \text{Area of rectangle} \cdot \text{Length}`

`V=l \cdot w \cdot h`

Triangular prism:
`\text{Volume}= \text{Area of triangle} \cdot \text{Length}`

`$V= ( b \cdot h \cdot l)/(2)$`

Cylinder:
`\text{Volume}= \text{Area of circle} \cdot \text{Length}`

`V=\pi r^2 h`

It is a rectangular prism, therefore, the volume is 49.5 cm³