Question

a cube in emilys closet where she stores her jewelry has a side length of 1 and 1/4, what is the volume of the cube?

Answer 1

Answer:$1 \frac{61}{64}$ cubic feet

Explanation:

Given:The side(lenght) of the cube=1 1/4

To find:Volume of cube

Side of cube=1 1/4

We know that

Volume=$side^3$

${(1 \frac{1}{4} )}^{3}$

${( \frac{5}{4}) }^{3}$

$\frac{5 \times 5 \times 5}{4 \times 4 \times 4}$

$\frac{125}{64}$

$1\frac{61}{64}$

_________

Thus volume of the cube=

$1\frac{61}{64}$ cubic feet

Answer 2

$\mathfrak{\large{\underline{\underline{Answer:-}}}}$

The Volume of the cube is $\sf 1\;\dfrac{61}{64}$

$\mathfrak{\large{\underline{\underline{Explanation:-}}}}$

Given that :

The side (lenght) of the cube = $\sf 1 \dfrac{1}{4}$

To Find :

The volume of the cube.

Solution :

We know that :

★ $\boxed{\sf{Volume\;of\;the\;Cube\;=Side^3 }}$

Here side = $\sf 1 \dfrac{1}{4}$

Put the given values :

$\sf \longrightarrow {(1 \dfrac{1}{4} )}^{3}\\\\\sf \longrightarrow{(\dfrac{5}{4}) }^{3}\\\\\sf \longrightarrow\dfrac{5 \times 5 \times 5}{4 \times 4 \times 4}\\\\\sf \longrightarrow \dfrac{125}{64} \\\\ \sf \longrightarrow 1\dfrac{61}{64}$

Hence,

It implies that the volume of Cube = $\sf 1\;\dfrac{61}{64}$

$\rule{400}{2.5}$

★ Extra Information :

Cube:

Cube is geometrical shape which has 6 faces, 12 edges, and 8 vertices.

Surface area :                  (Of Cube)

=> 6 × a²

Number of edges :

12

Number of vertices :

8

Number of faces :

6