The dimensions of an open metal box are 52 cm, 42 cm and 31 cm. Its thickness is 1 cm. If \( \Large 1\ cm^{3} \) of metal used in the box weighs one gram, then the weight of the box is


A) 7.04 kg.

B) 7.704 kg.

C) 7.64 kg.

D) 7.86 kg.

Correct Answer:
B) 7.704 kg.

Description for Correct answer:
Volume of metal = \( \Large \left(52 \times 42 \times 31-50 \times 40 \times 30\right)\ cm^{2} \)

=\( \Large \left(67704 - 60000\right)\ cm^{2} \)

=\( \Large 7704\ cm^{3} \)

Weight of the box = 7704 gm

= 7.704 kg.

Part of solved Mensuration questions and answers : >> Aptitude >> Mensuration








Comments

No comments available




Similar Questions
1). Three tubes of metals whose edges are 3cm, 4cm and 5cm respectively are melted to make a single cube. If there is no loss of metal in the process. Find the side of the new cube.
A). 6 cm.
B). 7 cm.
C). 8 cm.
D). 9 cm
-- View Answer
2). The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is the ratio 5 : 3. The ratio of their volumes is
A). 27 : 20
B). 20 : 27
C). 4 : 9
D). 9 : 4
-- View Answer
3). A rectangular sheet with dimension 22 m. x 10 m. is rolled into a cylinder so that the smaller side becomes the height of the cylinder. Then the volume of the cylinder is.
A). \( \Large 385\ m^{3} \)
B). \( \Large 220\ m^{3} \)
C). \( \Large 110\ m^{3} \)
D). \( \Large 486\ m^{3} \)
-- View Answer
4). The height of a cylinder is 21 cm. and its curved surface is \( \Large 924\ cm^{2} \). Then the radius of the base is
A). 14 cm.
B). \( \Large \frac{7}{2} \) cm.
C). 7 cm.
D). \( \Large 2\frac{1}{2} \) cm.
-- View Answer
5). A cinema hall is 50 m. long and 24 m. wide what should be the height of the hall to accommodate 400 person if volume of air required for one person is \( \Large 60\ m^{3} \).
A). 12 mts.
B). 16 mts.
C). 24 mts.
D). 20 mts.
-- View Answer


6). The radius of base of a cone is 7 m. If the height of the cone is 24 mts. what will be the cost of painting the surface area of the cone at Re.0.2 per square metre.
A). Rs.100
B). Rs.110
C). Rs.115
D). Rs.120
-- View Answer
7). The ratio of radius and height of a cone is 3 : 4. Its volume is \( \Large 301.44\ cm^{3} \) \( \Large \left( \pi = 3.14\right) \), then the radius of the cone is
A). 16 cm.
B). 24 cm.
C). 6 cm.
D). 12 cm.
-- View Answer
8). A right cylindrical vessel is filled with water. How many right cones having same diameter and height as those of right cylinder will be needed to store the water?
A). 2
B). 3
C). 4
D). 5
-- View Answer
9). A cylindrical piece of metal of radius 2 cms. and height 6 crns. is shaped into a cone of the same radius. The height of the cone is.
A). 18 cm.
B). 14 cm.
C). 12 cm.
D). 8 cm.
-- View Answer
10). Find the volume of a solid sphere whose surface area is 616 sq.cm.
A). 4361 sq.cm.
B). 1437.3 sq.cm.
C). 4360.3 sq.cm.
D). 1437.6 sq.cm.
-- View Answer