Question

The volume of the cuboid is 1280cm3. Its breadth

and height are in ratio of 8:5 and length is 8cm.

Find its:

a. Breadth

b. Height​

Answer 1

Answer:

a. 16 cm

b. 10 cm

Step-by-step explanation:

Volume of cuboid = l×b×h.

Given, Volume = 1280 cm³, length = 8 cm.

Let the ratio be 8x : 5x.

=> 8 × 8x × 5x = 1280

=> 320x² = 1280

=> x² = 1280/320

=> x² = 4

=> x = 2

Breadth = 8×2 cm = 16 cm

Height = 5×2 cm = 10 cm

Answer 2

Formula of Volume of cuboid is l×b×h.

As the breadth and height are in ratio, we assume breadth as 8x and height as 5x.

Volume = Length × Breadth × Height

1280 cm² = 8cm × 8x × 5x

1280 cm² = 8cm × 40x²

$\frac{1280}{8 \times 40} = {x}^{2}$

4 = x²

$\sqrt{4 } = x$

2 = x

We assumed height as 5x

So, 5 × x = 5×2 = 10cm

and

Breadth = 8x = 8×2= 16cm