The answer is 90/91. 6 1/2 - 7/8 divided by 5 11/16. Turn 6 1/2 and 5 11/16 to an improper fraction. 6 1/2= 13/2. 5/11= 91/16. Then you have to get each fraction to have equal denominators. All of them can have a denominator of 16. So you times everything to get a denominator of 16. 13/2= 104/16. 7/8=14/16. 91/16 stays the same because the denominator is already 16. Next you subtract 104/16 and 14/16 and get 45/8.( because you need to put it in simplest form.) Lastly you divide 45/8 by 91/16 and get 90/91.
Given:
Composite figure.
The figure splitted into two shapes.
One is vertical cuboid and other is horizontal cuboid
To find:
Total surface area of the figure
Solution:
<u>Vertical cuboid:</u>
Length = 14 inches
Width = 12 inches
Height = 24 inches
Surface area = 2(lw + wh + lh)
= 2(14 × 12 + 12 × 24 + 14 × 24)
= 2(168 + 288 + 336)
Surface area = 1584 square inches
<u>Horizontal cuboid:</u>
Length = 14 inches
Width = 10 inches
Height = 30 - 12 = 18 inches
Surface area = 2(lw + wh + lh)
= 2(14 × 10 + 10 × 18 + 14 × 18)
= 2(140 + 180 + 252)
Surface area = 1144 square inches
Total surface area = 1584 + 1144
= 2728 square inches
The total surface area of the figure is 2728 square inches.
Answer:
25 cm^2
Step-by-step explanation:
The side length of square 1 is sqrt(169) = 13
The side length of square 2 is 48/4 = 12
From the Pythagorean Triple 13 - 12 - 5, the side length of square 3 is 5
Finally, 5 * 5 is 25
