9514 1404 393
Answer:
10,450 cm³
Step-by-step explanation:
The volume is the product of the area of the facing face and the depth of the figure. The area of the facing face is the sum of the areas of a rectangle and a triangle. The relevant area formulas are ...
A = bh . . . . . area of rectangle with base b and height h
A = 1/2bh . . . area of triangle with base b and height h
Here the rectangle and triangle have the same base, 19 cm. Then the sum of the areas is ...
Atot = (19 cm)(18 cm) + 1/2(19 cm)(14 cm)
Atot = (19 cm)(18 cm +1/2×14 cm) = (19 cm)(25 cm) = 475 cm².
Then the volume of the figure is ...
V = Bh = (475 cm²)(22 cm) = 10,450 cm³
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<em>Additional comment</em>
Effectively, this is the volume of a cuboid whose height is that of the bottom rectangular prism (18 cm) plus half the height of the triangular prism on top (1/2×14 cm = 7 cm). (18+7=25) The volume is essentially 19 cm × 25 cm × 22 cm. This recognition can serve to simplify the work or to act as a check on the work done some other way.
Answer:
Step-by-step explanation: Turn the mixed number into an improper fraction. -1 2/5 becomes -7/5. To divide fractions, you keep the first fraction, change the division sign to mulitplication and flip the second fraction. Then just multiply across the top and across the bottom. You will get 105/70. Reduce by dividing both numerator and denomination by 35 Result will be 3/2.
Find out what 1 Foot per centimeter is (1.5 centimeters per foot)
Multiply 13 by 1.5 to find one side and 24 by 1.5 to find the other side
The 2nd option is correct
