The surface areas are the areas that are only calculated in 3-D shapes. The area where the object will occupy the space within the region. And the space in the object is the volume of the prescribed figure.
There are different shapes in geometry like cubes, cuboids, cones, spheres, cylinders, etc. And all the figures have different areas and shapes concerning each other with their volumes.
The 2-D figures will not have any volume; they only have the areas, including the total surface area of the curved surface area.
Surface Areas and Volumes Sample Questions for Class 10
Question 1
What facts about the rocket can be seen directly from the vertex form of the function? Choose all that apply.
A. The time when the rocket reached its maximum height.
B. The total duration of the rocket's flight.
C. The initial velocity of the rocket.
D. The rocket's maximum height.
Question 2
A cereal box is being designed that needs to have dimension ratios of 1:1.5:4.2 and needs to have a volume of 14.49 cubic inches. What is the box's smallest dimension?
A. 2.3 in
B. 1.32 in
C. 9.7 in
D. 3.45 in
Question 3
A company produces candies that are shipped in boxes containing 1,728 candies. The boxes are twice as wide as they are tall and twice as long as they are wide. Which equation would best help to solve for the volume of the box needed to hold the 1,728 candies?
A. V=h*2(4h)h
B. 1728=h*2h*2h
C. 1728=h*2h*4h
D. V=2h^3
Question 4
Yvonne is having a concrete pad poured for a shed she will build. If the contractor tells her that the pad is 5.5 feet by 6.0 feet, give or take an inch, what would be the difference between the largest possible area and the smallest possible area of the pad?
A. 2.3 feet squared
B. 1.8 feet squared
C. 1.2 feet squared
D. 0.9 feet squared
Question 5
You are renovating your dining room and living room in your house. As an upgrade, you are adding crown molding to each room. The dining room is a square with an area of 196 square feet. The living room is 20 feet long and 12 feet wide. Crown molding is sold for $1.85 per linear foot. Sales tax is 6%. What is the total cost for the crown molding you will install?
A. $481.00
B. $384.36
C. $235.32
D. $222.00