G.13 Surface Area and Volume

a three-dimensional shape with a square base and four triangular faces that meet at a point called the apex

l is your slant height.

p is your perimeter of your square base (4 times the side length)

B is your Area of the base (side x side)

1/2 x 17 x 4(16) + 16²

1/2 x 17 x 64 + 256

SA = 800 inches²

V = 1/3Bh

B=Area of the base (side²)

h = height of the pyramid (forms a right angle with base)

V = 1/3 B h

1/3 x 6² x 8

96 inches³

A 3-dimensional (has length, width, and height) shape that has a rectangular base and 6 rectangular faces.

SA = 2lw + 2lh + 2wh l=11, w=5, h=6

2(11)(5) + 2(11)(6) + 2(5)(6)

302 cm²

V=lwh

l=11, w=5, h=6

11 x 5 x 6

330 cm³

​

h = height of the prism (not on the triangle)=12

p = perimeter of base(add up the 3 sides) = 8+8+8

B = area of base (1/2bh) = 1/2 x 8 x 3

SA = hp + 2B

12(8 + 8 + 8) + 2(1/2 x 8 x 3)

312 cm²

h = height of the prism (not one of the sides of the triangle)=12

B = area of base (1/2bh) = 1/2 x 8 x 3

V = Bh

(1/2 x 8 x 3) x 12

144 cm³