Volume of a cuboid is 34.50 cubic metre. Breadth and height of the cuboid is 1.5m and 1.15m respectively. Find its length.

Open in App

Solution

Let the length of the cuboid be l m.

Breadth of the cuboid, b = 1.5 m

Height of the cuboid, h = 1.15 m

Volume of the cuboid = 34.50 m³

∴ l × b × h = 34.50 m³

⇒ l × 1.5 × 1.15 = 34.50

⇒ l = $\frac{34.50}{1.5 \times 1.15}$ = 20 m

Thus, the length of the cuboid is 20 m.

Suggest Corrections

Similar questions

The length of a cuboid is $0.3 m$ . Its breadth and height is $0.03 m$ and $0.003 m$ respectively. The volume of the cuboid is given as the product of its length, breadth and height. The volume of cuboid is:

Q. The volume of a cuboid is given by the product of its length, breadth and height. The length of a cuboid is 2x² times its breadth and the height is

\frac{3}{2}

xy times of length. Find the volume of the cuboid if its breadth is 6y².

Find the volume in cubic metre (cu. m) of each of the cuboids whose dimensions are:
(i) length $= 12 m$ , breadth $= 10 m,$ height $= 4.5 m$
(ii) length $= 4 m,$ breadth $= 2.5 m,$ height $= 50 c m .$
(iii) length $= 10 m,$ breadth $= 25 d m,$ height $= 50 c m .$

Q. The volume of a cuboidal box is 48 cm³. If its height and length are 3 cm and 4 cm respectively, find its breadth.

Q. The volume of a cuboid is

1536 m^{2}

its length is

60 m

and breadth and height are in ration

3 : 2

find the breadth or height of the cuboid.

Join BYJU'S Learning Program

Volume of a cuboid is 34.50 cubic metre. Breadth and height of the cuboid is 1.5m and 1.15m respectively. Find its length.

Let the length of the cuboid be l m. Breadth of the cuboid, b = 1.5 m Height of the cuboid, h = 1.15 m Volume of the cuboid = 34.50 m3 ∴ l × b × h = 34.50 m3 ⇒ l × 1.5 × 1.15 = 34.50 ⇒ l = 34.501.5×1.15 = 20 m Thus, the length of the cuboid is 20 m.

Let the length of the cuboid be l m.

Breadth of the cuboid, b = 1.5 m

Height of the cuboid, h = 1.15 m

Volume of the cuboid = 34.50 m³

∴ l × b × h = 34.50 m³

⇒ l × 1.5 × 1.15 = 34.50

⇒ l = $\frac{34.50}{1.5 \times 1.15}$ = 20 m

Thus, the length of the cuboid is 20 m.