Question

surface area of of a cuboid 7cm long 5cm wide is 214 cm²find its hight​

Answer 1

22/7rxrxh

put

Step-by-step explanation:

22/7xrxrxh

Answer 2

The height of the cuboid is 6 cm

Given:

Surface area of a cuboid = 214 cm²

Length of cuboid = 7 cm

Width of cuboid = 5 cm

To find:

The height of the cuboid.

Formula to be used:

Surface area = 2 ( Length × Width + Length × Height + Width × Height )

Solution:

Step 1 of 2:

Surface area of a cuboid is 214 cm²

Surface area of the cuboid is calculated from the following formula,

Surface area = 2 ( Length × Width + Length × Height + Width × Height )

Length = 7 cm

Width = 5 cm

Height = h

Surface area = 214 cm²

Step 2 of 2:

Surface area = 2 ( Length × Width + Length × Height + Width × Height )

214 = 2 ( 7 × 5 +  7 × h +  5 × h )

214 = 2 ( 35 + 7h + 5h )

214 = 2 ( 35 + 12h )

214 = 70 + 24h

214 - 70 = 24h

144 = 24h

h = $\frac{144}{24}$

h = 6 cm

The height of the cuboid is 6 cm