Question

Three cubes of side 8cm are joined end to end. Find the surface area and volume of the resulting figure.

Answer 1

GIVEN:

• Three cubes of side 8cm are joined end to end.

TO FIND:

• What is the TSA of the cuboid ?
• What is the Volume of the cuboid ?

SOLUTION:

The dimensions of the resulting cuboid are:-

• LENGTH = 8+8+8 = 24 cm
• BREADTH = 8 cm
• HEIGHT = 8 cm

We know that the formula for finding the surface area of the cuboid is:-

$\large{\boxed{\bf{\star \: AREA = 2(lb + bh + hl) \: \star}}}$

According to question:-

$\sf{\longmapsto AREA = 2(24 \times 8 + 8 \times 8 + 8 \times 24) }$

$\sf{\longmapsto AREA = 2(192 + 64 + 192) }$

$\sf{\longmapsto AREA = 2(448) }$

$\bf{\longmapsto AREA = 896 \: cm^2 }$

• TSA of cuboid = 896 cm²

We know that the formula for finding the volume of cuboid is:-

$\large{\boxed{\bf{\star \: VOLUME = L \times B \times H \: \star}}}$

According to question:-

$\sf{\longmapsto VOLUME = 24 \times 8 \times 8 }$

$\bf{\longmapsto VOLUME = 1536 \: cm^3 }$

• VOLUME of cuboid = 1536 cm³

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