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

Answer:

the volume of a match box is 14×8×10 cucm

=1120cucm

so the volume of a pocket containing 14 such match box is 1120×14cucm=15680cucm

Answer 2

Answer:

The volume of the pocket is 15680 cm³.

Step-by-step-explanation:

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.

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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.

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Additional Information:

1. Cuboid:

A three dimensional rectangular figure is known as a cuboid.

2. A cuboid has its opposite faces of equal measures like the rectangle.

3. It has total 6 faces.

4. It has 12 edges.

5. It has 8 vertices.

6. Formulae related to cuboid:

1. Perimeter of cuboid:

Perimeter of cuboid = 4 * ( Length + Breadth + Height )

2. Volume of cuboid:

Volume of cuboid = Length * Breadth * Height