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1 answer:
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Answer:
19. 1400 ft^2
20. 1680 + 112pi m^3
For 20, a decimal answer would be 2031.86
Step-by-step explanation:
19. Lateral surface area refers to the area without including any horizontal planes(the tops and the bottoms - hence the name lateral). The lateral surface area of this prism is simply 5 equivalent rectangles. Each rectangle has an area of 280(14*20). Thus, the answer is 280*5 = 1400
20. The volume of a shape such as this(where the horizontal planes are always the same shape) can be calculated by the area of the base times the height. In this case, the area of the base is the semi circle (area of ). The area of the rectangle is 15 * 8 = 120. Adding these together gets you 120 + 8pi. Multiplying this by the height of 14 gets you 1680 + 112
This question is incomplete because it lacks the appropriate diagram.
Please find attached this answer the appropriate diagram.
Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.
Answer:
72 centimeter cubes
Step-by-step explanation:
Looking at the attached diagram, we are given 3 views of the cuboid
a) The plan view: The is the view of the cuboid from the top or a very high position
b) Front Elevation view: This is the view of the cuboid from the front
c) Side elevation view: This is the view of the cuboid from the side.
In the referenced and attached diagram,
The plan view shows us the top of the cuboid with a length of 4 and breadth of 6
The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4
The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6
We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.
Volume of a cuboid = Length × Width × Height
Combining the 3 views together,
The Length of the cuboid = 4
Width of the cuboid = 6
Height of the cuboid = 3
Volume of the cuboid = 4 × 6 × 3
= 72
Therefore, the number of centimeter cubes that were used to make the cuboid is 72.
