Volume and Surface Area Questions

• A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:
• Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG: GF is
• A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
• What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
• A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
• Find the area of a square, one of whose diagonals is 3.8 m long.
• One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
• Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.
• The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side
• A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?
• The base of a pyramid is a rectangle whose length and breadth are 16 cm and 12 cm respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is 26 cm, then find the volume of the pyramid in cubic centimeter?
• If ΔABC is an equilateral triangle of side 16 cm, then the length of altitude is
• In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?
• The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area?
• Considering two opposite vertices of a square of side ‘a’ as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?
• The area of a semicircle is 1925 sq.cm. Calculate its perimeter (in cm).
• At what point does the line 3x + y = -6 intercept the x-axis?
• The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is
• If the volume of a cylinder is 3850 cubic cm and height is 25 cm, what is its radius? (Take π = 22/7)
• Dodecahedron has 30 edges. How many vertices does it have?