Aptitude Volume and Surface Area Test Paper 1

Answer: C

Explanation:

Surface area of cube = 6 a²
600 = 6 a²
a² = 100
                                                    a= =10 cm
Diagonal of cube = a = × 10 = 10 cm

Answer: C

Explanation:

Length of room = 30 m
Breadth of room = 24 m
Height of room = 18 m

Answer: D

Explanation:

Length of the hall = 40 m
Breadth of hall= 25 m
Height of hall = 20 m
Volume of the hall = l x b x h
                           = 40 x 25 x 20 = 20,000 m³
Space occupied by each person = 200m³
Number of person that can accommodate in the hall =

Answer: A

Explanation:

Total surface area of parallelepiped = total surface area of 4 cubes + Surface area of another cube
So, the required surface area = 4 x6 + 24 = 48 cm²

Answer: A

Explanation:

Length of water tank = 30 m
Width of water tank = 20 m
Depth of water tank = 12 m

Area of water tank = 2(lb+bh +hl) - lb

                                         = 2 (30 x 20 + 20 x 12 + 12 x 30) - 30 x 20
                                        = 2 (600 + 240 + 360) - 600
                                         = 2 (1200) - 600
                                         = 2400 - 600 = 1800 m²

Area of iron sheet (L*B) = area of tank = 1800 m²

                          L * B = 1800
                          L x 3 = 1800
                          L = 1800/3 = 600 m

Given that, the cost of iron sheet is Rs. 10 per meter.
So, the total cost of iron sheet to build the tank = 10 x 600 = Rs. 6000