marley49
Answered

How many square feet of wood are needed to build a cabinet that is 2 feet 3 inches tall, 1 foot 4 inches deep, and 1 foot 4 inches wide? (Assume that wood is needed for all six surfaces. )

Answer :

TheUnknownScientist

Answer:

17.8 square feet of wood are needed to build a cabinet

Step-by-step explanation:

For Cuboid:

l = 2 feet 3 inches = 2.3 ft

b = 1 foot 4 inches = 1.4 ft

h = 1 foot 4 inches = 1.4 ft

TSA OF CUBOID

[tex] = 2(lb + bh + hl)[/tex]

[tex] = 2 \times (2.3) (1.4) + (1.4) (1.4) + (1.4) \times (2.3)[/tex]

[tex] = 2 \times (3.22 + 1.96 + 3.72) \\ = 2 \times 8.90 \\ = 17.8ft {}^{2} [/tex]

Thus, 17.8 square feet of wood are needed to build a cabinet

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