30 Questions
What are some of the basic solids mentioned in the text?
cuboid, cone, cylinder, and sphere
Give an example of a common object that is a combination of a cylinder and hemisphere.
a truck with a container fitted on its back
What is the shape of a test tube?
a combination of a cylinder and a hemisphere
What kind of buildings or monuments are mentioned in the text?
big and beautiful buildings or monuments made up of a combination of solids
What will be covered in this chapter according to the text?
how to find surface areas and volumes of objects
How is the surface area of a combination of solids calculated?
by considering each individual solid and summing up their surface areas
What is the total surface area of the block made of a cube and a hemisphere?
163.86 cm^2
What are the dimensions of the wooden toy rocket that is in the shape of a cone mounted on a cylinder?
Height of entire rocket: 26 cm, height of conical part: 6 cm, base diameter of conical portion: 5 cm, base diameter of cylindrical portion: 3 cm
What is the area of the rocket that is painted orange?
37.7 cm^2
What is the area of the rocket that is painted yellow?
88.5 cm^2
What is the base area of the hemisphere fixed on the block?
13.86 cm^2
What is the slant height of the cone in the wooden toy rocket?
13 cm
What is the inner surface area of the vessel described?
$308 cm^2$
What is the total surface area of the toy described?
$170.5 cm^2$
What is the greatest diameter the hemisphere can have on the cubical block described?
7 cm
What is the surface area of the remaining solid after cutting out a hemispherical depression from a cubical wooden block?
$108 cm^2$
What is the surface area of the medicine capsule described?
$565.5 mm^2$
What is the area of the canvas used for making the tent?
$107.04 m^2$
What is the area to be painted orange on the cone and cylinder?
63.585 cm2
What is the area to be painted yellow on the cylinder?
195.465 cm2
What is the total surface area of the bird-bath made by Mayank?
33000 cm2
What is the total volume of the bird-bath made by Mayank?
3.3 m2
What is the formula used to calculate the area to be painted orange on the cone and cylinder?
CSA of the cone + base area of the cone - base area of the cylinder
How is the area to be painted yellow on the cylinder calculated?
2πr'h' + π(r')^2
What is the total surface area of the remaining solid when a conical cavity is hollowed out from a solid cylinder with a height of 2.4 cm and diameter of 1.4 cm?
37 cm^2
For a wooden article made by scooping out a hemisphere from each end of a solid cylinder with a height of 10 cm and base radius of 3.5 cm, what is the total surface area of the article?
235 cm^2
In the shed described as a cuboid surmounted by a half cylinder with a base dimension of 7 m x 15 m and a cuboidal portion height of 8 m, what is the volume of air the shed can hold?
748 m^3
How is the total surface area affected when a conical cavity of the same dimensions is hollowed out from a solid cylinder compared to the original solid?
Decreases
Why is the volume of a solid formed by joining two basic solids the sum of the volumes of the constituents?
Because no material is removed when joining the solids
What happens to the surface area when two basic solids are joined to form a new solid?
Some part of the surface area disappears
Learn about finding surface areas and volumes of solids including cuboid, cone, cylinder, and sphere. Explore combinations of basic solids in everyday objects like trucks with containers.
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