tina's preschool has a set of cardboard building blocks, each of which measures 9 inches by 9 inches by 4 inches. how many of these blocks will tina need to build a wall with dimensions of 4 inches in thickness, 3 feet in in height and 12 feet in length?

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Since there are 36 inches in 3 feet, the wall must be 4 blocks high (36/9 = 4).

How many blocks will Tina need for the length (12 feet = 144 inches)?

Multiply 4 by the number of blocks needed for the length to find the total number of blocks.

If you post your answer, we'll be glad to check it.

To find out how many blocks Tina will need to build the wall, we first need to calculate the volume of the wall. The formula to find the volume of a rectangular prism is V = l × w × h, where V is the volume, l is the length, w is the width, and h is the height.

In this case, the length of the wall is 12 feet, which is equivalent to 144 inches (since 1 foot = 12 inches), the height is 3 feet, which is equivalent to 36 inches, and the thickness is 4 inches.

So, the volume of the wall is V = 144 inches × 36 inches × 4 inches.

Next, we calculate the volume of one cardboard block. The dimensions of the block are given as 9 inches × 9 inches × 4 inches.

Therefore, the volume of each block is V_block = 9 inches × 9 inches × 4 inches.

Finally, we divide the volume of the wall by the volume of one block to find out how many blocks Tina will need: Number of blocks = V_wall / V_block.

Let's calculate it:

V_wall = 144 inches × 36 inches × 4 inches = 207,36 cubic inches.

V_block = 9 inches × 9 inches × 4 inches = 324 cubic inches.

Number of blocks = 207,36 cubic inches / 324 cubic inches.

By dividing these values, we find that Tina will need approximately 0.64 blocks to build the wall. However, since we cannot have a fraction of a block, she would need to round up to the nearest whole number.

Therefore, Tina will need 1 block to build the wall.

955 the beat

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