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MAT Exam 2020 Paper

Question : 96 of 200

Marks: +1, -0

Solution:

Concept:

When cubes are joined end to end, only the length increases; breadth and height remain equal to the side of a cube.

Explanation:

Side of each cube =

5\ \mathrm{cm}

Number of cubes joined =

7

So, new length,

l = 7 \times 5 = 35\ \mathrm{cm}

Breadth,

b = 5\ \mathrm{cm}

and height,

h = 5\ \mathrm{cm}

Surface area of a cuboid =

2(lb + bh + hl)

Substitute the values:

= 2(35 \times 5 + 5 \times 5 + 35 \times 5)

= 2(175 + 25 + 175)

= 2 \times 375 = 750\ \mathrm{cm}^2

Answer:

The surface area of the resulting cuboid is

750\ \mathrm{cm}^2

, i.e., option A.

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