Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Volume of Cube and Cuboid, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. Find the volume of a cuboid 13 cm long, 3 cm wide and 7 cm high.
(A) 302 cubic cm
(B) 273 cubic cm
(C) 23 cubic cm
(D) 39 cubic cm
Q2. A tank is 3 m long, 2 m wide and 1 m deep. How many litres of water can it hold? (1 cubic metre = 1000 litres)
(A) 6000 litres
(B) 600 litres
(C) 6 litres
(D) 60000 litres
Q3. What is the total surface area of a cube with edge 5 cm?
(A) 125 sq cm
(B) 150 sq cm
(C) 100 sq cm
(D) 60 sq cm
Q4. What is the volume of a cube of edge 8 cm?
(A) 384 cubic cm
(B) 64 cubic cm
(C) 512 cubic cm
(D) 24 cubic cm
Q5. Find the volume of a cuboid 7 cm long, 8 cm wide and 3 cm high.
(A) 202 cubic cm
(B) 18 cubic cm
(C) 56 cubic cm
(D) 168 cubic cm
Q6. A tank is 2 m long, 1 m wide and 1 m deep. How many litres of water can it hold? (1 cubic metre = 1000 litres)
(A) 2000 litres
(B) 200 litres
(C) 2 litres
(D) 20000 litres
Q7. Find the volume of a cuboid 6 cm long, 8 cm wide and 7 cm high.
(A) 292 cubic cm
(B) 21 cubic cm
(C) 48 cubic cm
(D) 336 cubic cm
Q8. A tank is 5 m long, 2 m wide and 1 m deep. How many litres of water can it hold? (1 cubic metre = 1000 litres)
(A) 1000 litres
(B) 10 litres
(C) 10000 litres
(D) 100000 litres
Q9. Find the volume of a cuboid 5 cm long, 6 cm wide and 2 cm high.
(A) 104 cubic cm
(B) 60 cubic cm
(C) 13 cubic cm
(D) 30 cubic cm
Q10. What is the volume of a cube of edge 4 cm?
(A) 96 cubic cm
(B) 16 cubic cm
(C) 12 cubic cm
(D) 64 cubic cm
Answer Key with Explanations
(B) 273 cubic cm — Volume = l × b × h = 273 cubic cm.
(A) 6000 litres — Volume = 6 m³ = 6000 litres.
(B) 150 sq cm — TSA = 6a² = 6 × 25 = 150 sq cm.
(C) 512 cubic cm — Volume = a³ = 8³ = 512 cubic cm.
(D) 168 cubic cm — Volume = l × b × h = 168 cubic cm.
(A) 2000 litres — Volume = 2 m³ = 2000 litres.
(D) 336 cubic cm — Volume = l × b × h = 336 cubic cm.
(C) 10000 litres — Volume = 10 m³ = 10000 litres.
(B) 60 cubic cm — Volume = l × b × h = 60 cubic cm.
(D) 64 cubic cm — Volume = a³ = 4³ = 64 cubic cm.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
Free AISSEE / RMS Mock Test
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