Question

total surface area of a cuboid is 152sq.cm its length and breadth are 8cm and 6cm respectively. find its hight and volume​

Answer 1

height = 2 cm.

Volume = 96cm³

pls mark me brainliest and follow me

Answer 2

• Height of cuboid is 2 cm.
• Volume of cuboid is 96 cm³.

Step-by-step explanation:

Given:-

• Total surface area of cuboid is 152 cm².
• Length of cuboid is 8 cm.
• Breadth of cuboid is 6 cm.

To find :-

• Height of cuboid.
• Volume of cuboid.

Solution:-

We know that,

$\boxed{\star \: \sf \bold{Total \: surface\: area = 2(lb + bh + lh)}}$

In which,

• l, b, and h are length, Breadth and height of cuboid respectively.

Put l, b and Total surface area in formula:

$\longrightarrow \sf 2 \times (8 \times 6 + 6 h \times 8 h) = 152$

$\longrightarrow \sf 2 \times (48 + 6h + 8h) = 152$

$\longrightarrow \sf 96 + 12h + 16 h = 152$

$\longrightarrow \sf 96 + 28 h = 152$

$\longrightarrow \sf 28h = 152 - 96$

$\longrightarrow \sf 28h = 56$

$\longrightarrow \sf h = \cfrac{56}{28}$

$\longrightarrow \sf \bold{h = 2}$

Height is 2 cm.

$\boxed{\star \: \sf \bold{Volume \: of \: cuboid = l \times b \times h}}$

$\longrightarrow \sf 8 \times 6 \times 2$

$\longrightarrow \sf \bold{96}$

Therefore,

Volume of cuboid is 96 cm³.