Volume and Surface Area Questions
The total surface area of a cube is 864 square cm. What is his volume?
(A) 216
(B) 1728
(C) 729
(D) 512
Correct Answer : B
The volume of a sphere and an elliptical cylinder are the same. The radius of the sphere and cylinder are 21 cm and 14 cm respectively. What is the height of the cylinder?
(A) 63 cm
(B) 56 cm
(C) 42 cm
(D) 49 cm
Correct Answer : A
What is the total surface area and curved surface area of a solid semi circle with radius of 14 cm?
(A) $$ {5544cm^2},1848 cm^2 $$
(B) $$ {1848cm^2},1232 cm^2 $$
(C) $$ {924cm^2},616 cm^2 $$
(D) $$ {2772cm^2},1848 cm^2 $$
Correct Answer : B
The area of triangle is half the area of square. The perimeter of the square is 224 cm. What is the area of triangle?
(A) 1856 cm2
(B) 1658 cm2
(C) 1558 cm2
(D) 1586 cm2
(E) None of these
Correct Answer : E
Explanation :
given 4a=224,
a=56, so that Area of square is=a2=56*56
so that Area of Triangle is a2/2=1568
Smallest side of a right angled triangle is 13 cm less than the side of a square of perimeter 72 cm. Second largest side of the right angled triangle is 2 cm less than the length of the rectangle of area 112 cm² and breadth 8 cm. What is the largest side of the right angled triangle?
(A) 20 cm
(B) 12 cm
(C) 10 cm
(D) 13 cm
(E) None of these
Correct Answer : D