Question

A wooden cube has edges of length 3 meter. Square holes of side 1 meter centred in each face,
are cut through to the opposide face as shown. The edge of holes are parallel to the edges of the
cube. The entire surface area including inside (in m?) is
(A) 54
(B) 72
(C) 76
(D) 84​

Answer 1

Step-by-step explanation:

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Standard memberPaul Dirac IIView Profile

Posers and Puzzles

10 May '14 16:46

PDI

Standard memberPaul Dirac IIView Profile

10 May '14 16:46

1 edit

My wallet $7 lighter, I walked out of the store that sells used books with a book of math puzzles. I'll give one of the easiest ones from the book, plus a medium-difficult one. Maybe later, a difficult one.

I.

A wooden cube has edges of length 3 meters. Square holes of side one meter, centered in each face, are cut through to the opposite face. The edges of the holes are parallel to the edges of the cube. The entire surface area including the inside is how many square meters?

II.

A box contains 2 pennies, 4 nickels and 6 dimes. Six coins are drawn without replacement, with each coin having an equal probability of being chose. What is the probability that the value of the coins drawn is at least 50 cents?

[For those outside the USA, penny = 1 cent, nickel = 5 cents, dime = 10 cents.]

js

Subscriberjoe shmoView Profile

Strange Egg

10 May '14 18:13

Originally posted by Paul Dirac II

My wallet $7 lighter, I walked out of the store that sells used books with a book of math puzzles. I'll give one of the easiest ones from the book, plus a medium-difficult one. Maybe later, a difficult one.

I.

A wooden cube has edges of length 3 meters. Square holes of side one meter, centered in each face, are cut through to the opposite face. The ...[text shortened]... ast 50 cents?

[For those outside the USA, penny = 1 cent, nickel = 5 cents, dime = 10 cents.]

I. 72 m²

A_surface = 6*3² - 6*1² + 6*4*1 [m²]

= 6(9 -1 +4)

= 6(12)

=72

Answer 2

Answer: The correct answer is (not listed): 90.

Step-by-step explanation:

To find the total surface area of the wooden cube, we need to first calculate the surface area of each face and then subtract the area of the square holes. The surface area of one face of the cube is simply the square of the length of its edge, which is 3 meters. So the total surface area of the cube without the holes is:

6 x (3m x 3m) = 54m²

There are six square holes with side length 1 meter on each face, so the area of each hole is 1m x 1m = 1m². The total area of all the holes on one face is 6 x 1m² = 6m². Since there are six faces, the total area of all the holes is:

6 x 6m² = 36m²

To find the total surface area of the cube including the inside, we need to add the area of the holes to the total surface area without the holes. Therefore, the total surface area of the wooden cube is:

54m² + 36m² = 90m²

Therefore, none of the answer options provided match the correct answer. The correct answer is (not listed): 90.

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