Question

What is the volume of a rectangular prism with the dimensions: base 2 3 8 cm, height 1 1 3 cm, and length 3 3 4 cm? A) 11 7 8 cm3 B) 8 3 8 cm3 C) 5 15 16 cm3 D) 4 3 4 cm3

Answer 1

11 7 38

Explanation:

Answer 2

The volume of the given prism is
`11(7)/(8)` cubic cm.

Explanation:

Here, the dimensions of the given Prism is

Base =
`2(3)/(8)` cm

Height =
`1(1)/(3)` cm

Length =
`3(3)/(4)` cm

Now. solving the given mixed fractions, we get

`2(3)/(8) = 2 + (3)/(8)   = 2  + 0.375 = 2.375`

`1(1)/(3)= 1 + (1)/(3)   = 1  + 0.333 = 1.33`

`3(3)/(4) = 3 + (3)/(4)   = 3  + 0.75 = 3.75`

Now, the given dimensions of the prism are :

B = 2.375 cm, H = 1.33 cm and L = 3. 75 cm

The VOLUME OF THE PRISM = LENGTH x BASE x HEIGHT

= 2.375 cm x 1.33 cm x 3. 75 cm

= 11. 8453 cubic cm

Now,
`11. 8453  = 11 + 0.845 = 11 + (845)/(1000)  = 11  + (7)/(8)   = 11(7)/(8)`

Hence, the volume of the given prism is
`11(7)/(8)` cubic cm.