Other questions similar to 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
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The face of each cube is 64 square cm. The two ends of the adjoined cuboid would add to 128 square cm. Now add the other four faces. Each face being 2 x 64 square cm. = 128 square cm. 4 x 128 square cm= 512 square cm. 512 square cm + 128 square cm = 640 square cm surface area.
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Answer: 160cm².
Step by step explanation:
Given,
Volume of both cubes = 64cm³
Volume of one cube =a³
⇒ 64 = a³
⇒ (4) = a³
⇒ a=4
We know that, when two cubes are joined they form cuboid:
Length of cuboid=4+4= 8cm
Breadth of cuboid= 4cm
Height of cuboid= 4cm
Surface area of cuboid = 2(lb+bh+lh)
2(8×4+4×4+4×8)
= 2(32+16+32)
= 2(80)
= 160cm²
Therefore, Surface area of Cuboid is 160 cm².
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