The surface area of the composite figure is given by 730 sq.in
<h3>What are Composites ?</h3>
Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.
It is given in the question to determine the area of the composite figure
Area of Cube is
Area = 6 * side²
Area = 6 * 4² = 96 sq.in
The surface area of the cuboid is equal to
Sum of surface area of all the sides
As the opposite sides are same
7x10x2 + 15x10x2 + 7x15x2
650 sq.in
As the surface area of the base of the cube is counted twice
Therefore it will subtracted from the total
96 + 650 - 4*4
=730 sq.in
Therefore the surface area of the composite figure is given by 730 sq.in
To know more about Composites
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It seems the first line has to be
1. AB=CD and AD=CB 1. given
2. AC=AC 2. Reflexivity (things are equal to themselves)
3
ACB
CAD 3. SSS
4.
1 =
4. Corresponding parts of congruent triangles
5 DC || AB 5. Congruent alternate traversal angles imply parallel lines
Solving equations simple
9n + 12 = 30
Note that a squared pyramid has a square base & 4 equal triangles.
To find the lateral the lateral area you calculate the area of the 4 equal triangles and to find the surface area (total Area) you add the area of the base:
Area of each triangle = side (5) x slant (9) and you divide by 2
==>Aera of 1 triangle = (9x5)/2 = 45/2 & for the 4 triangles
Lateral area = (45/2) x 4 = 90 in²
Now the base area (square) = 5 x 5= 25 in²
so the surface area = 90+25 = 115 in² (answer a)
Product means multiplication. Since it's asking you to write an algebraic expression with a variable, w, the answer is 737w.
