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

Answer:

The volume of the given prism is $11\frac{7}{8}$ cubic cm.

Step-by-step explanation:

Here, the dimensions of the given Prism is

Base  = $2\frac{3}{8}$ cm

Height  = $1\frac{1}{3}$ cm

Length  = $3\frac{3}{4}$ cm

Now. solving the given mixed fractions, we get

$2\frac{3}{8} = 2 + \frac{3}{8} = 2 + 0.375 = 2.375$

$1\frac{1}{3}= 1 + \frac{1}{3} = 1 + 0.333 = 1.33$

$3\frac{3}{4} = 3 + \frac{3}{4} = 3 + 0.75 = 3.75$

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,  $11. 8453 = 11 + 0.845 = 11 + \frac{845}{1000} = 11 + \frac{7}{8} = 11\frac{7}{8}$

Hence, the volume of the given prism is $11\frac{7}{8}$ cubic cm.

Answer 2

Answer:

11 7 38

Step-by-step explanation: