A box contains length 10 m , width 6 m and height 4 m . How many cubes of volume 15 cum can accommodate in the box ?
Given:
Length of box = 10 m
Width of box = 6 m
Height of box = 4 m
Volume of each cube = 15 cubic meters (cum)
Formula Used:
Number of cubes =
Volume of box = Length × Width × Height
Solution:
Volume of box = 10 × 6 × 4 =240 cum
Number of cubes = = 16
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The number of bricks, which will be required to make a wall which is 8m long, 6m high and 22.5 cm thick if each brick measures 25 cm ×11.25 cm × 6 cm is
A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The contents ofthe vessel are emptied into a cylindrical vessel with base of internal radius 15 cm. The height (in cm) to which the liquid will rise in the cylindrical vessel is:
The diameter of a solid metallic sphere is 3.5 cm. Such 96 spheres are melted and recast into a solid right circular cylinder of height 56 cm.
What is the curved surface area (in cm²) of the cylinder?
A solid hemisphere of radius 10 cm is melted into two cones of equal height. If each cone’s radius is 5 cm, what is the height of each cone?
A hemisphere and a cone share the same base and have equal volumes. Given that their common radius is R, determine the height of the cone.
A cylinder and hemisphere have the same radius. Their combined height is 30 cm. If the cylinder and hemisphere have equal volumes, find the radius.
An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in cm3) is
Two cubes each of volume 125 cm³ are joined end to end. The total surface area of the resulting cuboid is:
Suggested Test Series
Suggested Test Series
A solid is in the shape of a cone mounted on a hemisphere. The radius of each is 6 cm and the total height of the solid is 14 cm . Find the surface area of the solid.
The curved surface area of a solid metallic right circular cylinder is 1792π cm² and its base radius is 32 cm. It is melted and recast into 42 solid spherical balls of equal radius. What is the surface area (in cm²) of a ball ?
The number of bricks, which will be required to make a wall which is 8m long, 6m high and 22.5 cm thick if each brick measures 25 cm ×11.25 cm × 6 cm is
A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The contents ofthe vessel are emptied into a cylindrical vessel with base of internal radius 15 cm. The height (in cm) to which the liquid will rise in the cylindrical vessel is:
The diameter of a solid metallic sphere is 3.5 cm. Such 96 spheres are melted and recast into a solid right circular cylinder of height 56 cm.
What is the curved surface area (in cm²) of the cylinder?
A solid hemisphere of radius 10 cm is melted into two cones of equal height. If each cone’s radius is 5 cm, what is the height of each cone?
A hemisphere and a cone share the same base and have equal volumes. Given that their common radius is R, determine the height of the cone.
A cylinder and hemisphere have the same radius. Their combined height is 30 cm. If the cylinder and hemisphere have equal volumes, find the radius.
An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in cm3) is
Two cubes each of volume 125 cm³ are joined end to end. The total surface area of the resulting cuboid is:
