Height of a prism-shaped part of a machine is 8 cm and its base is an isosceles triangle, whose each of the equal sides is 5 cm and remaining side is 6 cm. The volume of the part is
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Aptitude · all questionsMensuration 3d
Mensuration 3d
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The base of a right pyramid is an equilateral triangle with area 16√3 cm2. If the area of one of its lateral faces is 30 cm2, then its height (in cm) is:
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A metallic solid spherical ball of radius 3 cm is melted recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm2) of the third ball?
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The circumference of the base of a cylindrical vessel is 158.4 cm and height is 1 m. How many litres of water can it hold (correct to one decimal place)?
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The height of a right prism with a square base is 15 cm. If the area of the total surface of the prism is 608 sq. cm, its volume is
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The area of the base of a right circular cone is 81π cm2 its height is 12 cm. What is curved surface area (in cm2) of the cone?
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A rectangular sheet of metal is 40 cm by 15 cm. Equal squares of side 4 cm are cut off at the corners and the remaining is folded up to form an open rectangular box. The volume of the box is
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If the sum of three dimensions and the total surface area of a rectangular box are 12 cm and 94 cm2 respectively, then the maximum length of a stick that can be placed inside the box is
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If the length of each side of a regular tetrahedron is 12 cm, then the volume of the tetrahedron is
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A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are
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The sum of the radius of spheres A and B is 14 cm, the radius of A being larger than that of B. The difference between their surface areas is 112π. What is the ratio of the volumes of A and B?
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If V1, V2 and V3 be the volumes of a right circular cone. A sphere and a right circular cylinder having the same radius and same height then
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How much iron sheet (in m2) will be needed to construct a rectangular tank measuring 10 m × 8 m × 6 m, if a circular opening of radius one metre is to be left at the top of the tank? (correct to one decimal place)
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The height of a solid right circular cylinder is 6 metres and three times the sum of the area of its two end faces is twice the area of its curved surface. The radius of its base (in metre) is
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5 persons live in a tent. If each person requires 16 m2 of floor area and 100 m3 space for air then the height of the cone of smallest size to accommodate these persons would be?
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A circus tent is cylindrical up to a height of 3 m and conical above it. If its diameter is 105 m and the slant height of the conical part is 63 m, then the total area of the canvas required to make the tent is
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A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volume is
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Six cubes each edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid in cm2?
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The radius of the base of a conical tent is 16 metres. If sq. metre canvas is required to construct the tent, then the slant height of the tent is:
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Q100
Open questionThe length of a metallic pipe is 7.56 m. Its external and internal radii are 2.5 cm and 1.5 cm respectively. If 1 cm3 of the metal weight 7.5 g, then the weight of the pipe is:
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