-7x+12-2x=23+13x

First take away 13x from the right side and put it on the left side adding taking it away from -7x

-7x(-13x)=-20x
-20x+12-2x=23

then add 2x to -20x
and move 12 to the other side, minus it off of 23

-18x=11

then divide -18x on both sides

then x=-11/18

6 0

3 years ago

Find the volume of a cube<br> whose surface area is 150<br> ft2?

Brrunno [24]

Given:

Surface area of cube = 150 ft²

To Find:

Volume of cube

Solution:

As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

We know that,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface \: area_{(Cube)} = 6a^2 \\ \\$

Substituting the required values,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \frac{150}{6} = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \sqrt{25} = a \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\ \\$

Edge of the cube is 5 feet

Now,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\ \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}} \\ \\$

Hence,

Volume of the cube is 125 cu. feet

7 0

2 years ago

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