Question

A CUBOID WITH DIMENSIONS 28 cm, BY ,x ,cm BY 15 cm HAS VOLUME OF 6720 CUBIC CENTIMETER.
FIND MISSING BREADTH ,THEN WORKOUT SURFACE AREA OF CUBOID.​

Answer 1

Answer:

• Breadth of the cuboid = 16 cm
• Total surface area of the cuboid = 2216 cm²

Step-by-step explanation:

Given that:

• Dimensions of a cuboid are 28 cm, x cm and 15 cm.
• Volume of the cuboid is 6720 cm³.

To Find:

• Breadth of the cuboid.
• Surface area of the cuboid.

Solution:

As we know that,

• Volume of a cuboid = (length × breadth × height) cubic units

Substituting the values,

$\rm{\longmapsto6720=28\times x\times15}$

$\rm{\longmapsto6720=420x}$

$\rm{\longmapsto\dfrac{6720}{420}=x}$

$\rm{\longmapsto16=x}$

$\rm{\longmapsto x = 16}$

Hence,

• x = 16

Therefore,

• Breadth of the cuboid is 16 cm.

Now,

As we know that,

• Total surface area of cuboid = 2(lb + bh + lh) sq. units

Substituting the values,

$\sf{\longmapsto2\{(28\times16)+(16\times15)+(28\times15)\}}$

$\sf{\longmapsto2\{448+240+420\}}$

$\sf{\longmapsto2\times1108}$

$\sf{\longmapsto2216}$

Hence,

• Total surface area of cuboid is 2216 cm².