Question

A prism with length of 3 units, height of 3 and one-fourth units, and width of 1 unit. What is the volume of the prism? whole-unit cubes fit inside the prism. quarter-cubic units fit inside the prism. The total volume of the prism is units3.

Answer 1

Answer:

$9$

$2$

$9\dfrac{3}{4}\ \text{units}^3$

Step-by-step explanation:

l = Length of prism = 3 units

h = Height of prism = $3\dfrac{1}{4}=\dfrac{13}{4}\ \text{units}$

w = Width of prism = 1 unit

Volume of a prism is given by

$V=lwh\\\Rightarrow V=3\times 1\times \dfrac{13}{4}\\\Rightarrow V=9.75\ \text{units}^3=9\dfrac{3}{4}\ \text{units}^3$

The number of whole unit cubes that can fit inside the prism is $9$

For quarter cubic units

$\dfrac{9}{4}=2\dfrac{1}{4}$

The number of quarter cubic units that can fit inside the prism is $2$

Total volume of the prism is $9\dfrac{3}{4}\ \text{units}^3$.