Question

Can you find the Volume of the figure?

Answer 1

1920 cm³

Explanation:

The volume of a cuboid is the product of its dimensions:

V = LWH

__

These two cuboids have the same width and depth, so can be stacked on top of each other to give a cuboid with the dimensions ...

(14 +10) = 24 cm high

8 cm deep

10 cm wide

Then the volume is ...

V = LWH = (8 cm)(10 cm)(24 cm) = 1920 cm³

The total volume is 1920 cubic centimeters.

Answer 2

`\qquad \qquad \huge\underline{\boxed{\sf{Aиswєя} } } \: \ddot \smile`

↬ What we need to know before we solve :

`\sf \: Volume \: of \: a \: Cuboid = Length × Width × Height`

✦ Now, let's proceed further ~

✰ Part the structure into two cuboids of dimensions :

`\longrightarrow \sf 10 \: cm * 8 \: cm * 14 \: cm`

and

`\longrightarrow \sf 10 \: cm * 10 \: cm * 8\: cm`

✦ Find out volume of each cuboid

Cuвσíd #1

`\qquad \dashrightarrow \sf {(10 * 8 * 14) \: cm {}^(3) }`

`\qquad \dashrightarrow \sf 1120 \: cm {}^(3)`

Cuвσíd #2

`\qquad \dashrightarrow \sf {(10 * 10 * 8) \: cm {}^(3) }`

`\qquad \dashrightarrow \sf 800 \: cm {}^(3)`

➳ Aѕ wє cαn ѕєє, vσlumє σf thє whσlє fígurє íѕ :

`\qquad \longmapsto\sf \sf{Vol \#1 + Vol \#2}`

`\qquad \longmapsto\sf \sf{(1120 + 800}) \: {cm}^(3)`

`\qquad \therefore\sf \:volume_((total)) = 1920 \:cm {}^( 3)`

`\huge \dag \: \\ormalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag`