Question

What is the volume of the box pictured below?
A rectangular prism of length 2 over 3 foot, width 5 over 6 foot and height 1, and 3 over 5 feet is shown.
fraction 8 over 9 cubic foot
fraction 9 over 10 cubic foot
fraction 1 and 1 over 15 cubic feet
fraction 1 and 1 over 3 cubic feet

Answer 1

Answer:

Step-by-step explanation:

A rectangular prism of length 3 and 1 over 2 feet, width 3 and 1 over 8 feet, and height 4 over 5 foot is shown.

fraction 3 and 1 over 10 cubic feet fraction 3 and 2 over 5 cubic feet fraction 6 and 5 over 8 cubic feet fraction 8 and 3 over 4 cubic feet

Pagie

Sep 27, 2017

why all the words? Your keyboard has math symbols on it.

A rectangular prism of length 3 1/2 ft, width 3 1/8 ft, and height 4/5 ft is shown.

3 1/10 ft^3

3 2/5 ft^3

6 5/8 ft^3

8 3/4 ft^3

since volume = length * width * height.

v = (3 1/2)(3 1/8)(4/5)

= (7/2)(25/8)(45)

= (7*25*4)/(2*8*5)

= (7*5)/(4)

= 35/4

= 8 3/4 ft^3

Answer 2

Given:

Length of rectangular prism = $\frac{2}{3}$ foot

Width of rectangular prism = $\frac{5}{6}$ foot

Height of rectangular prism = $1\frac{3}{5}$ foot

To find:

The volume of the rectangular prism.

Solution:

A rectangular prism is given whose dimensions are also given. This is in the shape of a cuboid, which is a three-dimensional figure. Volume is the space enclosed by a three-dimensional figure. The volume of a cuboid having dimensions length, breadth and height is given by:

$Volume,V=length*breadth*height$

$V=l*b*h$

where, $l,b,h$ are the length, breadth, height of the cuboid respectively.

When a phrase like "2 over 3 foot" is mentioned, it means a fraction having 2 as its numerator and 3 as its denominator. Similarly for "5 over 6 foot". For "1 and 3 over 5 feet" it indicates a mixed fraction with 1 as the whole number, 3 as the numerator and 5 as the denominator of the proper fraction.

The length, breadth, and height of the cuboid are given as $\frac{2}{3}$ foot, $\frac{5}{6}$ foot and $1\frac{3}{5}$ foot respectively. Substituting these values into the formula:

$V=\frac{2}{3}*\frac{5}{6}*1\frac{3}{5}$

$1\frac{3}{5}=\frac{(1*5)+3}{5}=\frac{5+3}{5}=\frac{8}{5}$

∴ $V=\frac{2}{3}*\frac{5}{6}*\frac{8}{5}$

$V=\frac{8}{9}feet^{3}$

Hence, the volume of the rectangular prism is given as $\frac{8}{9}$ cubic foot. Since 8 is in the numerator and 9 is in the denominator of the fraction, we can write in words as "8 over 9". Thus, the first option is the correct answer.

The volume of the rectangular prism is fraction 8 over 9 cubic foot and the first option is the correct answer.