Can some one help me with this math problem?
1 answer:
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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.
Answer:
401
Step-by-step explanation:
1. Approach
To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer
2. Circumference of the circle
The formula to find the circumference of a circle is;
(pi) or
(pi)
~ diameter times the value (pi)
Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.
Substitute in the values;
(78)(pi)
~ 245
3. Find the perimeter of the entire object
Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;
78 + 78 + 245
= 401