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Dovator [93]
3 years ago
13

A rectangular prism has a base length of 6 units, base

Mathematics
2 answers:
KatRina [158]3 years ago
8 0

Answer:

88 units

60 units squared

148 units squared

Step-by-step explanation:

just did it on edge

Maurinko [17]3 years ago
4 0

Answer:

The lateral area rectangular prism is 88 unit^2.

The area of the two bases of rectangular prism together is  60 unit^2.

The total surface area rectangular prism is 148 unit^2.

Step-by-step explanation:

Height of the rectangular prism = h = 4 units

Length of the base of the rectangular prism = l = 6 units

Width of the base of rectangular prism = b = 5 units

Rectangular prism = Cuboid

Lateral surface area of cuboid = L.S.A = 2 × h × (l+b)

Lateral surface area of rectangular prism :

L.S.A=2\times 4 units(6 units+5units)=88 units^2

Area of the base = l × b

Area of the base of the rectangular prism = 6 unit\times 5 unit=30 unit^2

Area of the two bases  = 2\times 30 unit^2=60 unit^2

Total surface area of cuboid = T.S.A = 2 ×(lb+bh+hl)

Lateral surface area of rectangular prism :

T.S.A=2\times (6unit\times 5unit+5 unit\times 4unit+4 unit\times 6 unit)

=148 unit^2

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Use the Pythagorean theorem (for right triangles):

a² + b² = c² ;

in which "a = "side length 1" (unknown; for which we which to solve);

               "b" = "side length 2" = "√3" (given in the figure) ;

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a² + b² = c² ; 

a² = c² − b² ;

Plug in the known values for "c" and "b" ;

a² = (2√3)²  −  (√3)² ;

Simplify:

(2√3)² = 2² * (√3)² = 2 * 2 * (√3√3)  = 4 * 3 =  12 .

 (√3)²  = (√3√3) = 3 .

a²  = 12 − 3 = 9 .

a² = 9

Take the "positive square root" of EACH SIDE of the equation; to isolate "a" on one side of the equation;  & to solve for "a" ; 

+√(a²)  = +√9 ;

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