Question

NEED HELP ON THIS ASAP

Answer 1

Answer:

Option 3 is correct.

$V_{s}=23976\ cubic\ feet$

Step-by-step explanation:

Given:

The dimension of the large box.

Length = 40 ft,width = 24, height = 18

The dimension of the smaller box.

Box 1 ⇒ Length = 30 ft, width = 18 ft, height = 6 ft

Box 2 ⇒ Length = 30 ft, width = 12 ft height = 6 ft

Box 3 ⇒ Length = 18 ft, width = 12 ft, height = 6 ft

We need to find the volume of the solid.

Solution:

First we find the volume of the all boxes by using below formula.

$Volume = Length\times width\times height$

Volume of the large box.

$Volume = Length\times width\times height$

So, the volume of the large box.

$V_{lb} = 40\times 24\times 18$

$V_{lb} = 17280\ cubic\ feet$

Volume of the smaller box(box 1).

$Volume = Length\times width\times height$

So, the volume of the large box.

$V_{b1} = 30\times 18\times 6$

$V_{b1} = 3240\ cubic\ feet$

Volume of the smaller box(box 2).

$Volume = Length\times width\times height$

So, the volume of the large box.

$V_{b2} = 30\times 12\times 6$

$V_{b2} = 2160\ cubic\ feet$

Volume of the smaller box(box 3).

$Volume = Length\times width\times height$

So, the volume of the large box.

$V_{b3}= 18\times 12\times 6$

$V_{b3}= 1296\ cubic\ feet$

We know that the volume of the solid is equal to sum of the all boxes.

Volume of the solid

$V_{s} = V_{lb}+V_{b1}+V_{b2}+V_{b3}$

$V_{s} = 17280+3240+2160+1296$

$V_{s}=23976\ cubic\ feet$

Therefore, the volume of the solid $V_{s}=23976\ cubic\ feet$