Question

the volume of a cuboid is 250 cubic cm and it's length is twice of the breath and the height is 5cm.find the breath and length of the cuboid​

Answer 1

Answer:

answer is 10 and 5

Step-by-step explanation:

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Answer 2

Given:

✰ The volume of a cuboid = 250 cm³

✰ Length of the cuboid is twice its breadth.

✰ The height of the cuboid = 5 cm

To find:

✠ The breath and length of the cuboid.

Solution:

Cuboid:

A cuboid is a rectangular solid, which has six faces, each of which is a rectangle.

First we will assume that the breadth of the cuboid as x and we know that the length of the cuboid is twice its breadth which means 2 times its breadth or in other words we can say that 2 multiplied by its breadth i.e, 2 × x = 2x. After that we are provided with the volume and the height of a cuboid. Thus, by using the formula of volume of cuboid, we will find both its length and breadth. Forming an adequate equation and then doing the required calculations.

Let's find out...✧

Let the breadth of the cuboid be x,

then the length of the cuboid = 2x

✭ Volume of cuboid = l × b × h ✭

Where,

• l is the length of the cuboid.
• b is the breadth of the cuboid.
• h is the height of the cuboid.

Putting the values in the formula, we have:

➤ 250 = 2x × x × 5

➤ 250 = 2x² × 5

➤ 2x² = 250/5

➤ 2x² = 50

➤ x² = 50/2

➤ x² = 25

➤ x = √25

➤ x = 5

∴ The breadth of the cuboid = 5 cm

➛ The length of the cuboid = 2x

➛ The length of the cuboid = 2 × 5

➛ The length of the cuboid = 10 cm

∴ The length and the breadth of the cuboid are 5 cm and 10 cm respectively.

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