A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is t
he volume of this piece? What is the volume of the other piece not pictured?
1 answer:
Answer:
Volume of the piece in the picture = 350 cubic inches
Volume of the remaining piece = 300 cubic inches
Step-by-step explanation:
Given question is incomplete without the picture; here is the picture as an attachment.
Volume of the rectangular prism = Length × width × height
V = 5 × 13 × 10
= 650 cubic inches
Now volume of the piece given in the picture = Volume of prism at the base + Volume of the prism with triangular base
= 10×5×1 +
= 50 +
= 50 + 300
= 350 cubic inches
Volume of the other piece = 650 - 350
= 300 cubic inches
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The area of the considered composite figure is given by: Option: 6π + 16 cm²
<h3>How to calculate the surface area of a composite figure?</h3>Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
That ∑ sign shows "sum"
For this case, the missing image is attached below.
As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.
The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²
All those 3 semicircles has radius = 2 cm
Since radius is same, so area of those 3 semicircle is same =
Thus, we get:
Area of the composite figure =
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