Question

find the height of cuboid whose base area is 50 cm square and volume is 900 cm square​

Answer 1

Height of the Cuboid is 18 cm

Step-by-step explanation:

Question :-

Find the height of cuboid whose base area is 50 cm² and volume is 900 cm³

We Have :-

Base Area of Cuboid = 50 cm²

Volume of Cuboid = 900 cm³

To Find :-

Height of the cuboid

Formula Used :-

Area of Rectangle = Length × Breadth

Volume of Cuboid = Length × Breadth × Height

Solution :-

$Volume of Cuboid = Length × Breadth × Height \\ \\ 900 cm³ = ( Length × Breadth ) × Height \\ \\ 900 = ( Base \: of \: Cuboid ) × Height \\ \\ 900 = 50 × Height \\ \\ Height = \dfrac{900}{50} \\ \\ Height = 18 \: cm$

Height of the Cuboid is 18 cm

Answer 2

Answer:

• Height of cuboid is 18 cm

Step-by-step explanation:

Given

• Base area = 50 cm²
• Volume = 900 cm²

To find

• Height

Solution

↦ Base area = Length × Breadth

↦ Since, the base of a cuboid is rectangular.

↦ Volume of cuboid = Length × Breadth × Height

↦ Volume of cuboid = Base area × Height

• 900 = 50 × Height
• Height = 900/50
• Height = 18

∴ Height of cuboid is 18 cm

Verification

• Volume = Length × Breadth × Height
• 900 = 50 × 18
• 900 = 900
• L.H.S = R.H.S

Learn more

↣ Lateral surface area of cuboid:

• 2h(l+b)

↣ Total surface area of cuboid:

• 2(lb+bh+hl)

↣ Nomenclature:

• l - Length
• b - Breadth
• h - Height