Type the correct answer in the box. If necessary, use / for the fraction bar. A solid wooden block in the shape of a rectangular prism has a length, width, and height of centimeter, centimeter, and centimeter, respectively. The volume of the block is cubic centimeter. The number of cubic wooden blocks with a side length of centimeter that can be cut from the rectangular block is .

Complete Question:

A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter, respectively.

The volume of the block is

cubic centimeter. The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut from the rectangular block is

Volume of block = 15/512 cm³

The number of cubic wooden blocks with side ⅛ cm that can be cut from the rectangular box = 15 cubic wooden blocks

Step-by-step explanation:

✔️Volume of the rectangular prism/wooden block = length × width × height

Length = ⅜ cm

Width = ⅛ cm

Height = ⅝

Volume = ⅜*⅛*⅝ = (3*1*5)/(8*8*8) = 15/512 cm³

✔️The number of cubic wooden blocks with side ⅛ cm that can be cut from the rectangular box = volume of the block ÷ volume of the cubic wooden block with side ⅛

Volume of block = 15/512 cm³

volume of the cubic wooden block with side ⅛ = s² = (⅛)² = 1/512 cm³

Thus,

number of cubic wooden blocks with side ⅛ cm that can be cut from the rectangular box = 15/512 ÷ 1/512

= 15/512 × 512/1

= 15 cubic wooden blocks

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