The edge length of a cube is 3.5 inches. Find the surface area of the cube.
1 answer:
A cube has all sides the same length, check the picture below.
since the cube is just 6 squares stacked up to each other at the edges, we can simply get the area of each square and sum them up, and that's the surface area of the cube.
(3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) .
since the cube is just 6 squares stacked up to each other at the edges, we can simply get the area of each square and sum them up, and that's the surface area of the cube.
(3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) + (3.5 · 3.5) .
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Refer to the figure shown below.
We shall review each of the three given measurements and decide what type of triangle we have.
Measurement a.
a=3, b=4, c=5.
For a right triangle, c² = a² + b² (Pythagorean theorem)
a² + b² = 3² + 4² = 9 + 16 = 25
c² = 5² = 25
Answer:
This is a right triangle, because c² = a² + b².
Measurement b.
a=5, b=6, c=7.
For an acute triangle, c² < a² + b².
a² + b² = 5² + 6² = 25 + 36 = 61
c² = 7² = 49
Answer:
This is an acute triangle, because c² < a² + b².
Measurement c.
a=8, b=9, c=12.
For an obtuse triangle, c² > a² + b².
a² + b² = 8² + 9² = 64 + 81 = 145
c² = 12² = 144
Answer:
This is an acute triangle because c² < a² + b².
We shall review each of the three given measurements and decide what type of triangle we have.
Measurement a.
a=3, b=4, c=5.
For a right triangle, c² = a² + b² (Pythagorean theorem)
a² + b² = 3² + 4² = 9 + 16 = 25
c² = 5² = 25
Answer:
This is a right triangle, because c² = a² + b².
Measurement b.
a=5, b=6, c=7.
For an acute triangle, c² < a² + b².
a² + b² = 5² + 6² = 25 + 36 = 61
c² = 7² = 49
Answer:
This is an acute triangle, because c² < a² + b².
Measurement c.
a=8, b=9, c=12.
For an obtuse triangle, c² > a² + b².
a² + b² = 8² + 9² = 64 + 81 = 145
c² = 12² = 144
Answer:
This is an acute triangle because c² < a² + b².
Answer:
2.5
Step-by-step explanation:
From the diagram, figure B was enlarged to obtain figure A.
The two figures are therefore similar.
The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.
It is given by:
Figure B is the image of A
Therefore the scale factor is 2.5