1. Determine the volume of a cube with sides of 30 mm . Express your answer in \( \mathrm{cm}^{2} \). 2. Calculate the volume of the following reetangular blocks: (a) length 40 cm ; heighth 30 cm ; width 15 cm . (b) Iength \( 1,5 \mathrm{~m} \); height \( 0,3 \mathrm{~m} \); width 50 cm . Express your answers in standard form, first in \( \mathrm{cm}^{3} \), then in \( \mathrm{m}^{3} \). 3. Astorage bin is 2 m long with vertical sides and a cross-section in the form of a trapezium as shown. What is the capacity of the bin?

Two circles, \( c_{1} \) and \( c_{2} \), touch internally. The equations of the circles are: \[ c_{1}:(x+1)^{2}+(y-3)^{2}=49 \] \[ c_{2}: x^{2}+y^{2}-6 x-12 y+k=0 \] Work out the two possible values of \( k \), where \( k \in \mathbb{Z} \).

\( \begin{array}{lr}24 \text { Due triangoli } A B C \text { e } A^{\prime} B^{\prime} C^{\prime} \text { sono tali che } A B \cong A^{\prime} B^{\prime}, \\ B C \cong B^{\prime} C^{\prime} \text { e uno degli angoli esterni di vertice } B \text { è con- } \\ \text { gruente a uno degli angoli esterni di vertice } B^{\prime} \text {. Dimo- } & \text { cui } \\ \text { stra che i due triangoli sono congruenti. }\end{array} \)

5. Найти площадь фигуры, огғ \( y=-x^{2}-4 x \) и \( у=4+x \)

38. A closed rectangular box of length 8 m , breadth 6 m and height 12 m is to be made up of steel. Find the area of the steel sheet required to make the box.

What are their sizes? One of the angles formed when two lines intersect is \( 127^{\circ} \). What are the sizes of the other three angles?