How many unit volume cubes of 1cm squared will fit into a 3cm x 4cmx 10cm shape?
wouldn't it be 3x4x10? I assume you meant volume cubes of 1cm cubed.
Yes, there is a diagram of a rectangle
120.
To find out how many unit volume cubes of 1cm squared will fit into the given shape, we need to calculate the total volume of the shape and then divide it by the volume of a single unit cube.
First, let's find the total volume of the shape. The shape has dimensions of 3cm x 4cm x 10cm, so its volume can be calculated by multiplying these dimensions together.
Volume = Length x Width x Height
Volume = 3cm x 4cm x 10cm
Volume = 120 cm³
Next, let's calculate the volume of a single unit cube. A unit cube has all sides measuring 1cm, therefore its volume is 1cm x 1cm x 1cm = 1 cm³.
Finally, we divide the total volume of the shape by the volume of a single unit cube to find out how many unit volume cubes will fit.
Number of unit cubes = Total volume of shape / Volume of a single unit cube
Number of unit cubes = 120 cm³ / 1 cm³
Number of unit cubes = 120
Therefore, 120 unit volume cubes of 1cm squared will fit inside the 3cm x 4cm x 10cm shape.