MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 11

From the official CBSE sample question paper for 2026-27, section A, question 11, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q11 · 1 mark · MCQSurface Areas and Volumes

Two cubes each of volume $64 cm^{3}$ are joined end to end to form a solid. The surface area of the resultant cuboid is:

(A) $192 cm^{2}$
(B) $160 cm^{2}$
(C) $96 cm^{2}$
(D) $80 cm^{2}$

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

Open one hint at a time and try again before the next.

Hint 1

Find the side of the cube from its volume.

Hint 2

Joining two cubes end to end doubles only the length.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

Side of each cube: $a^{3} = 64 \Rightarrow a = 4$ cm. The cuboid formed is $8 cm \times 4 cm \times 4 cm$ .
TSA $= 2 (l b + bh + h l) = 2 (32 + 16 + 32) = 160 cm^{2}$ , which is option (B).
1 mark

Answer: 160 cm², option (B)

Where the marks are

Finds cuboid 8 × 4 × 4 and its surface area 160 cm² (1 mark)

Revise the chapter

Chapter: Surface Areas and Volumes (notes, formulas, where marks are lost and every past question)
Topic: Surface Area and Volume Formulae Revision

Practise this chapterBoard-style questions from Surface Areas and Volumes, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2026-27 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard sample paper 2026-27: question 11

Hints

Step-by-step solution

Revise the chapter

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