Question

The dimensions of match box are 14cm x 8cm x 10cm.Find the volume of a pocket containing 14 such match boxes.....​

Answer 1

$\huge\pink{\mid{\underline{\overline{\tt Answer:-}}\mid}}$

The volume of the pocket is 15680 cm³.

We have given the dimensions of a cubodial matchbox.

Length ( l ) = 14 cm

Breadth ( b ) = 8 cm

Height ( h ) = 10 cm

Now, we know that,

Volume of cuboid = Length * Breadth * Height

⇒ Volume of matchbox = l * b * h

⇒ Volume of matchbox = 14 * 8 * 10

⇒ Volume of matchbox = 112 * 10

⇒ Volume of matchbox = 1120 cm³

∴ The volume of one matchbox is 1120 cm³.

─────────────────────

Now,

There are 14 matchboxes in a pocket.

We have to find the volume of the pocket.

∴ Volume of pocket = Volume of 14 matchboxes

⇒ Volume of pocket = 14 * Volume of one matchbox

⇒ Volume of pocket = 14 * 1120

⇒ Volume of pocket = 15680 cm³

∴ The volume of the pocket is 15680 cm³.

─────────────────────

PLEASE MARK MY ANSWER AS BRAINLIEST ANSWER....